Evaluate the following integral. x² dx √ 121 + x² What substitution will be the most...
Evaluate the following integral using trigonometric substitution. 7x² dx (121 + x2) 7x² dx s (121 +x?)? (Type an exact answer.)
Test: Final This Question: 6 pts Use an appropriate substitution and then a trigonometric substitution to evaluate the integral. XX Which substitution transforms the given integral into one that can be evaluated directly in terms of 0 OA. X 3 tano OB. X= 3 sino OC. X= 3 sec 0 Given the expression for x above, find dx in terms of O and do. dx = 00 dx x4-9 Click to select your answer(s).
1. Evaluate the indefinite integral sen (2x) – 7 cos(9x) – sec°(3x) dx = 2. Evaluate the indefinite integral | cor(3x) – sec(x) tant(x) + 9 tan(2x) dx = 3. Calculate the indefinite integral using the substitution rule | sec?0 tan*o do =
Evaluate the following indefinite integral. 3 + 3√x dx dx = 0 Determine the following indefinite integral. Check your work by differentiation. 5m (9m2 - 5m) dm 5m (9m2 - 5m) dm = Determine the following indefinite integral. Check your work by differentiation. Sur dr dr = Find the indefinite integralf f(-7 - 7 sec x tan x - 8 sec? x) dx. SC- -7 sec x tan x -8 sec? x) dx = | Determine the following indefinite integral....
Evaluate the integral by making the given substitution. (Use C for the constant of integration. Remember to use absolute values where appropriate.) x3 dx, u = x4 – 5 5 Evaluate the indefinite integral. (Use C for the constant of integration.) X dx 1 + x20
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 =
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 =
Use trigonometric substitution to find or evaluate the integral. (Use C for the constant of integration.) dx There 276 sec’e - 6/6 sec(0) + C * 6 + x²
Is Question: 13 pts Find the indefinite integral. [Vx(x+7)dx JVx(x+7)dx = 0 (Use C as the arbitrary constant.)
Evaluate the following integral using trigonometric substitution. dx S 3 2 (1+x²) dx S 11 2 (Type an exact answer.)