By using Integral by parts :
Here :
EQUATIONS USED
Find the following indefinite integral. Sx-* 9 dx X dx=
Use a change of variables to find the following indefinite integral. Sx²(x8 - 11) * dx What is the best choice of u for the change of variables? U= Find du. du = O dx Rewrite the given integral using this change of variables. Sx(-11)* dx=SO. du Find the indefinite integral. Sx? (28 - 11)* dx =
Use substitution to find the indefinite integral. Sox ex dx [ 5x² e 7x dx=
Evaluate the integral. tan 5x sec25x dx al ſ tan 5x sec ?5x dx = 0 TEL
3.) a.) Evaluate the following integral. (15 points) in(1 +5x?) dx b.) Evaluate the following integral. (10 points) tanº (6x) sec 10 (6x) dx
Consider the integral le -5x 1 + x2 dx If the integral is divergent, type an upper-case "D". Otherwise, evaluate the integral.
1 Evaluate the integral: Sot sx? dx 3 + 5x2
(1 point) Consider the integral - 5x dx 1 + x2 If the integral is divergent, type an upper-case "D". Otherwise, evaluate the integral. (1 point) Determine whether the sequence {V17n + 14 - V17n} converges or diverges. If it converges, find the limit. Converges (y/n): Limit (if it exists, blank otherwise): (1 point) Find the limit of the sequence: 1n+ 9n + 8 an 2n2 + 3n + 8 =
5X Evaluate the integral: dx ) 5 + 5.
Evaluate integral. What technique of integration is being used? Sx ex dx