
5. Use a trigonometric substitution to evaluate Jo (2+1)3/2 dr.
Use the trigonometric substitution to write the algebraic expression as a trigonometric function of e, whe V 9 - x x = 3 sin e
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
Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of integration.) $$ \int \frac{x^{3}}{\sqrt{x^{2}+25}} d x, \quad x=5 \tan (\theta) $$
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).
Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of integration.)
Use the given substitution to express the given radical expression as a trigonometric function without radicals. Assume 0<O</2. Let x = 6 cos e in 36 - x2 V36- x2 (Simplify your answer. Type an expression using as the variable.)
5. Make the trigonometric substitution r=a sec for 0 < < x/2 and a > 0. Use fundamental identities to simplify the resulting expression. You must show your work for credit! a. a' sec' etane b. 1 a cosecote 1 sin cos e a d. a tane e. c 1 cosa 6. Select all statements below that are true about the following equation: sect- a. The equation is not an identity because the equation is false when t b. The...
3. Use the trigonometric substitution r = a sin(0) to evaluate the following indefinite integral: da
Use substitution of trigonometric functions but please
give answers in terms of x and it should be simplified
1 x2 - x 3. Find indefinite integrals of these functions: (a) V1 + 4x2; (b) 4 - 22; (c) : () (22 - 1)3/2