Evaluate the following integral using trigonometric substitution. dx s 3 2 (529 + x2) dx 3...
Evaluate the following integral using trigonometric substitution. 7x² dx (121 + x2) 7x² dx s (121 +x?)? (Type an exact answer.)
Evaluate the following integral using trigonometric substitution. dx S 3 2 (1+x²) dx S 11 2 (Type an exact answer.)
Evaluate the following integral using trigonometric substitution. 13 2 5VX + 1 dx 0 13 S svx2 +10x= (Type an exact answer) 0 >
Evaluate the following integral using the trigonometric substitution method. zu +9 dx x2
2x 3) Let f(x) = 3V9+x2 a) Evaluate the definite integral 1393 f(x)dx, using Trigonometric substitution. b) Find f(x)dx, using Trigonometric substitution. c) Is there any other way to compute the integral of part b). Explain. If yes, then show the calculations.
2. (5 pts) Use integration by parts to show that 1- x2 Write x2-x2-1+1 in the second integral and deduce the formula Now, use a trigonometric substitution to conclude that Evaluate 1- x2 dx by using the FTC and then verify your answer by interpreting the integral as the area of a familar shape. 2. (5 pts) Use integration by parts to show that 1- x2 Write x2-x2-1+1 in the second integral and deduce the formula Now, use a trigonometric...
Please show all steps. Evaluate the integral using a trigonometric substitution. Jo (4 – x2) 312 * - *2)3/2 dx
Using trigonometric identities and substitution, evaluate the following integrals: 1. S sin5 x dx 2. Shamrzdx 3. S V4 – 9x2dx 4. Sýsin? x dx 5. S 1 dx x2 +81
8.4.53 Question Help estio Evaluate the following integral using trigonometric substitution estion 49x? - 81 9 estion S dxx estion mestion / 4922-81 estion (Type an exact answer) estiod
Evaluate the following integral or state that it diverges. 00 dx S x2 + 256 - 00 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. dx ОА. s (Type an exact answer, using * as needed.) + 256 OB. The improper integral diverges.