Evaluate the following integral. + 6x - 1 dx X-X Find the partial fraction decomposition of the integrand. St*6x=1&x=SO dx Evaluate the indefinite integral. S*** + 6x - 1 3 X-X dx =
QUESTION 8 Work the integral. Х dx S 1- x2
Evaluate the definite integral. 5 S (5x2 - 6x +6)dx 0
Evaluate the following integral. X2 + 16x-4 S*** dx x2 - 4x Find the partial fraction decomposition of the integrand. 1 * +18 x2 + 16x-4 dx = x² - 4x JOdx Evaluate the indefinite integral. *x? + 16x-4 dx = 3 х - 4x
Evaluate the following integral.. 5e 6Inx -dx х Soon 1 5 e 6'nx dx = (Type an exact answer.) Х 1
1) Find the indefinite integral: S 12x3 dx = 12x tc 2) Find the indefinite integral: S 4x (2 - x)dx 3) Find the indefinite integral: S e4x(4)dx 4) Find the indefinite integral: Saxta dx
1 (a) Consider the integral dx. e32 e-91 + e-6x +1 Make the substitution u = e-34 and rewrite the integral in terms of u only. DO NOT attempt to evaluate the integral. (b) Let f(x) be a function with the properties that f(0) = 1, f(2) = 2, xf(x) dx = 4 and f(x) dx = 1. / 0 Use this information to find a se xf'(2) dr.
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
Find each of the following: 5. -dx 1+x2 6. S(6x +Vx-9dx M 31
Use substitution to find the indefinite integral. 6x + 7 (12x² + 28x) 5 6x +7 16x +7 (12x² + 28x) 5 dx = 0