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Found 178 results for integral calculus
Solution: Integrate the square root of (1 – cos x) dx
Problem Statement: ECE Board November 1998 Integrate the square root of (1 – cos x) dx. A. -2√2cos (x/2) + C B. -2√2cos x + C C. 2√2cos (x/2) + C D. 2√2cos x + C Problem Answer: The integral of the trigonometric function is -2√2cos (x/2) + C. More Questions in: Integral Calculus Online Questions and Answers in Integral Calculus MCQ in Integral Calculus Online Questions and Answers in Differential Calculus (LIMITS & DERIVATIVES) MCQ in Differential Calculus (LIMITS & DERIVATIVES) Online Questions and Answers in Differential Calculus (MAXIMA-MINIMA & TIME RATES) MCQ in Differential Calculus (MAXIMA-MINIMA & TIME
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Solution: Evaluate the integral of cos x dx limits from π/4 to π/2.
Problem Statement: ME Board October 1997 Evaluate the integral of cos x dx limits from π/4 to π/2. A. 0.423 B. 0.293 C. 0.923 D. 0.329 Problem Answer: The integral of the trigonometric function with the given limit is 0.293. More Questions in: Integral Calculus Online Questions and Answers in Integral Calculus MCQ in Integral Calculus Online Questions and Answers in Differential Calculus (LIMITS & DERIVATIVES) MCQ in Differential Calculus (LIMITS & DERIVATIVES) Online Questions and Answers in Differential Calculus (MAXIMA-MINIMA & TIME RATES) MCQ in Differential Calculus (MAXIMA-MINIMA & TIME RATES)
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Solution: Evaluate the integral of lnx dx, the limits are 1 and e.
Problem Statement: EE Board April 1997 Evaluate the integral of lnx dx the limits are 1 and e. A. 0 B. 1 C. 2 D. 3 Problem Answer: The integral of the trigonometric function with the given limit is 1. More Questions in: Integral Calculus Online Questions and Answers in Integral Calculus MCQ in Integral Calculus Online Questions and Answers in Differential Calculus (LIMITS & DERIVATIVES) MCQ in Differential Calculus (LIMITS & DERIVATIVES) Online Questions and Answers in Differential Calculus (MAXIMA-MINIMA & TIME RATES) MCQ in Differential Calculus (MAXIMA-MINIMA & TIME RATES)
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Solution: Evaluate the integral of (2log_10 e dx)/x from 1 to 10.
Problem Statement: EE Board October 1997 Evaluate the integral of (2log_10 e dx)/x from 1 to 10. A. 2.0 B. 49.7 C. 3.0 D. 5.12 Problem Answer: The integral of the logarithmic function with the given limit is 2. More Questions in: Integral Calculus Online Questions and Answers in Integral Calculus MCQ in Integral Calculus Online Questions and Answers in Differential Calculus (LIMITS & DERIVATIVES) MCQ in Differential Calculus (LIMITS & DERIVATIVES) Online Questions and Answers in Differential Calculus (MAXIMA-MINIMA & TIME RATES) MCQ in Differential Calculus (MAXIMA-MINIMA & TIME RATES)
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Solution: What is the integral of cos 2x e^(sin 2x) dx?
Problem Statement: CE Board May 1995 What is the integral of cos 2x e^(sin 2x) dx? A. (e^(sin 2x) / 2) + C B. –( e^(sin 2x) / 2) + C C. – e^(sin 2x) + C D. e^(sin 2x) + C Problem Answer: The integral of the trigonometric function is (1/2)(e^(sin 2x)) + C. More Questions in: Integral Calculus Online Questions and Answers in Integral Calculus MCQ in Integral Calculus Online Questions and Answers in Differential Calculus (LIMITS & DERIVATIVES) MCQ in Differential Calculus (LIMITS & DERIVATIVES) Online Questions and Answers in Differential Calculus (MAXIMA-MINIMA & TIME RATES) MCQ
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Solution: The integral of cos x with respect to x is
Problem Statement: ME Board April 1995, ME Board October 1997 What is the integral of cos x with respect to x? A. sin x + C B. sec x + C C. –sin x + C D. csc x + C Problem Answer: The integral of the trigonometric function is sin x + C. More Questions in: Integral Calculus Online Questions and Answers in Integral Calculus MCQ in Integral Calculus Online Questions and Answers in Differential Calculus (LIMITS & DERIVATIVES) MCQ in Differential Calculus (LIMITS & DERIVATIVES) Online Questions and Answers in Differential Calculus (MAXIMA-MINIMA & TIME RATES) MCQ in
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Solution: Evaluate the double integral of rsinu drdu
Problem Statement: EE Board April 1997 Evaluate the double integral of rsinu drdu, the limits of r is 0 and cos u and the limit of u are 0 and pi. A. 1 B. 1/2 C. 0 D. 1/3 Problem Answer: The double integral of the trigonometric function with the given limit is 1/3. More Questions in: Integral Calculus Online Questions and Answers in Integral Calculus MCQ in Integral Calculus Online Questions and Answers in Differential Calculus (LIMITS & DERIVATIVES) MCQ in Differential Calculus (LIMITS & DERIVATIVES) Online Questions and Answers in Differential Calculus (MAXIMA-MINIMA & TIME RATES) MCQ in
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Solution: Evaluate the integral of (3x^2+9y^2) dxdy
Problem Statement: CE Board November 1996 Evaluate the integral of (3x^2 + 9y^2) dxdy if the interior limits has an upper limit of y and a lower limit of 0, and whose outer limit has an upper limit of 2 and a lower limit of 0. A. 10 B. 20 C. 30 D. 40 Problem Answer: The double integral of the algebraic function with the given limit is 40. More Questions in: Integral Calculus Online Questions and Answers in Integral Calculus MCQ in Integral Calculus Online Questions and Answers in Differential Calculus (LIMITS & DERIVATIVES) MCQ in Differential Calculus (LIMITS
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Solution: Evaluate the integral of (4x^3 – sec^2 x)dx?
Problem Statement: Evaluate the integral of (4x^3 – sec^2 x)dx? Problem Answer: The integral of (4x^3 – sec^2 x)dx is x^4 – tanx + C. More Questions in: Integral Calculus Online Questions and Answers in Integral Calculus MCQ in Integral Calculus Online Questions and Answers in Differential Calculus (LIMITS & DERIVATIVES) MCQ in Differential Calculus (LIMITS & DERIVATIVES) Online Questions and Answers in Differential Calculus (MAXIMA-MINIMA & TIME RATES) MCQ in Differential Calculus (MAXIMA-MINIMA & TIME RATES)
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Solution: Evaluate ∫ (1 – x)/(1 – √x) dx with a limit from 0 to 1
Problem Statement: Mathematics Integral Calculus: U-Substitution Problem Solving Evaluate ∫ (1 – x)/(1 – √x) dx with a limit from 0 to 1. A. 1.5 B. 1.8 C. 1.7 D. 1.9 Problem Answer: The ∫ (1- x)/ (1 -√ x) dx with a limit from 0 to 1 is equal to 1.7. More Questions in: Integral Calculus Online Questions and Answers in Integral Calculus MCQ in Integral Calculus Online Questions and Answers in Differential Calculus (LIMITS & DERIVATIVES) MCQ in Differential Calculus (LIMITS & DERIVATIVES) Online Questions and Answers in Differential Calculus (MAXIMA-MINIMA & TIME RATES) MCQ in Differential Calculus
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Solution: Find the area bounded by the parabola x^2 = 16(y-1) and its latus rectum
Problem Statement: Mathematics Integral Calculus: Area Bounded Problem Solving Find the area bounded by the parabola x^2 = 16(y-1) and its latus rectum. A. 46.72 B. 42.67 C. 47.62 D. 46.27 Problem Answer: The area bounded by the parabola x^2 = 16(y-1) and its latus rectum is equal to 42.67 sq. units. More Questions in: Integral Calculus Online Questions and Answers in Integral Calculus MCQ in Integral Calculus Online Questions and Answers in Differential Calculus (LIMITS & DERIVATIVES) MCQ in Differential Calculus (LIMITS & DERIVATIVES) Online Questions and Answers in Differential Calculus (MAXIMA-MINIMA & TIME RATES) MCQ in Differential Calculus
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Solution: Find the area bounded by the parabola x^2 = 8y and its latus rectum
Problem Statement: Mathematics Integral Calculus: Area Bounded Problem Solving Find the area bounded by the parabola x^2 = 8y and its latus rectum. A. 16/3 B. 32/3 C. 22/3 D. 11/3 Problem Answer: The area bounded by the parabola x^2 = 8y and its latus rectum is equal to 32/3 sq. units. More Questions in: Integral Calculus Online Questions and Answers in Integral Calculus MCQ in Integral Calculus Online Questions and Answers in Differential Calculus (LIMITS & DERIVATIVES) MCQ in Differential Calculus (LIMITS & DERIVATIVES) Online Questions and Answers in Differential Calculus (MAXIMA-MINIMA & TIME RATES) MCQ in Differential Calculus
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