In (53) e 6x In order to evaluate dx, a u-substitution is employed so that the resulting integral becomes 12x 25 + e In (5) 6 In (545) B e 6x dx =k 25 + e 12x du. 1+u? In (5) Use this information to answer parts (a)-(d). (a) Find u and du for the above substitution. ..... (b) Find the constant k. and du = u= (c) Find the limits of integration A and B. k= (d) Evaluate the integral. and B=| A = In (545) 6x dx 25+ e 12x In (5)

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A: Given integral is∫e-13xsin5xdxThe integral is evaluated as shown below.

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A: Explanation of the solution is given below...

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A: We can solve the integral by using substitution .

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A: As per our guidelins we can solve only 1 question. The next question can be reposted.  Here we have…

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A: We can rewrite the given integral by using this substitution u = x1/2

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A: (a) For, Is non elementary since y is in denominator. (b) For Is non elementary since x is in…

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A: Solution

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A: ..............(1) take ................put it back in equation 1

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Q: 4. Evaluate the following integrals: a) (22x +5e-*)dx b) S(esecnx sec Tx tan x)dx -In 16 e*/4

A: # we are entitled to solve one question at a time  please resubmit the other questions if you wish…

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Q: 11. The integral of an(In|4x-12 dx is bln|sec(ln(2x)ª)|. What is b? A. 2 В. 2 С. 4 D.

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