Which of the following is always true for integrable functions f and g? f(x)dzr • / g(x)« (A

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A: We know, ln(x) is defined for x>0. sin-1(x) is defined for x∈-1, 1. f(x)g(x) is defined if…

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Q: What are the new limits of integration if apply the substitution u = 6x + n to the integral sin (6x…

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Q: What are the new limits of integration after applying the substitution u = 5x + z to the integral s…

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Q: In the indefinite Integral fin(cosh x + e*). sinh x tex cosh x + ex B) In(cosh x + e*) In(cosh x +…

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Q: A scientist uses the one-point Gauss quadrature rule based on getting exact results of integration…

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Q: A scientist uses the one-point Gauss quadrature rule based on getting exact results of integration…

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Q: Use integration by parts to prove the reductionformula.

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Q: 3. Prove that coshx – coshy = 2sinh () sinh ().

A: As per honor code we are entitled to solve only 1 question at a time so I am providing you the same.…

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Q: hat are the new limits of integration after applying the substitution u = 6x + x to the integral /…

A: Given query is to find the limit after applying the substitution.

Q: a 5. Using integration by parts twice, prove that the L (sin ax) %3D s2+ a=

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Q: 1) sinh-1x = In(x + Vx² + 1) %3D 2) cosh-1 x = In(x+ Vx² – 1) %3D 3) tanh-1x In ) X = 1-x

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Q: What are the new limits of integration if apply the substitution u = 5x + n to the integral sin (5x…

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Q: 1- The point of intersection of the logarithmic functions on the X, Y axes =1. Why? 2- Are all…

A: As per the company guidelines we are supposed to solve first question only with its subparts. Kindly…

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A: Given,             ∫π40sin4tdt

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Q: -f integration for

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Q: Compute the fourth derivative of cos(x+1) - ln(x²+4) + x²²+1 with respect to x. Also, compute the…

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Q: -x² xe* dx -00

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Q: Only piecewise continuous functions f(x) on every finite interval (0, ∞) such that F(x)| dxis…

A: The given statement is false.

Q: An even piecewise continuous function f(x) on every finite interval of (-oo, 0) such that :/ (x)|…

A: The given statement is : An even piecewise continuous function f(x) on every finite interval of -∞,∞…

Q: Express the limit as a definite integral on the given interval. n exi lim -Ax [0, 9] n→∞ i = 1 6 +…

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Q: prove that cosh(x + y) = coshx coshy + sinhx sinhy

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Q: cises 1–12 con- of the Integral

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Q: What are the new limits of integration if apply the substitutior u = 6x + t to the integral sin (6x…

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Q: find the most general ntiderivative f(x) = 4 sec2(x) + 3 sec x tan x

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Q: What are the new limits of integration if apply the substitution u = 4x + t to the integral / sin…

A: We have to change the limit.

Q: Use Cauchy's Integral Formula and Cauchy's Integral Formula for Derivatives, when appropriate, to…

A: Correct ans is 6pi*i you can see the explanation in step 2

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