Evaluate the following indefinite integrals using integration by trigonometric substitution. Solutions must be handwritten, complete with drawings dx I √1+√√x

Q: An elementary reaction is generally expressed as: dC, = -kC," %3D dt

A: Given, dCAdt=-kCAn now solve this integral dCA=-kCAndtCA-ndCA=-kdtCA-n+1-n+1=-kt+c at t=0…

Q: 2rx · sin(rx²)dx sec²(/x) dx

A:

Q: 2+w4 dw w3+9w

A:

Q: At) + 6 L At– T)e " H(T)dT=e5H(1)| -5t %3D

A: In this question, we solve the integral equation by using the convolution property.

Q: S tam x &x 1.

A: Since we are given with the multiple number of question answered according to the guideline.

Q: Consider the integral x2 dæ, (x² + a²)³/2 where a is a positive real number.

A:

Q: •πT (2sinx + 3cosx + 1)dx

A:

Q: 11. indicate which formula applies to the following integral problem. Then use it to evaluate 3…

A: To evaluate I=∫39x216-9x2dx

Q: Use an appropriate substitution and then a trigonometric substitution to evaluate the integral. S…

A:

Q: (b) S, æ²2" dx = (c) S{(In(2))²dx =

A: Use integration by parts to evaluate the given integral ∫fg'=fg-∫f'gf=x2 and g'=2x ⇒g=2xln2…

Q: dx x* +3

A:

Q: |(e" +1) - csc²(e* + æ)dx

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: x+1 dx (25 – x²)3/2

A: We will evaluate the given integral as shown below by using trigonometric substitution