3. Use the trigonometric substitution r = a sin(0) to evaluate the following indefinite integral: da
1. Evaluate the following indefinite integral using the given trigonometric substitutions, = sin e V1 - 22 = cose U
Integrating with Trigonometric Substitution Evaluate 2dx 0 Find the indefinite integral. 20e5r dt Evaluate 2dx 0 Find the indefinite integral. 20e5r dt
(a) Use Trigonometric Substitution to evaluate the integral 22 9 dr. T (b) Use the method of Integration by Parts to rewrite the following integral. (You do not need to fully evaluate the integral.) | «* sin(x2) dr. (c) Find the form of the partial fraction decomposition of 2.r2 - 3.c + 77 (x - 1)(x² +2) (You do not need to solve for the coefficients.)
Complete the square and find the indefinite integral (Note: using Trigonometric Substitution);
12. DETAILS Find the indefinite integral using the method of trigonometric substitution. (Use C for the constant of integration.) S instructor to receive credit. There will be no credit if your work is not submitted. l 36 - 4x2 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
Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of integration.)
Find the indefinite integral. (Use C for the constant of integration.) Evaluate the integral using the given integration limits and the limits obtained by trigonometric substitution.
8. (7 points) Evaluate the indefinite integral using a substitution. State the substitution and show all work to justify your result for credit. dx V1 - 4x2 sin-1(2x)
Evaluate the integral using an appropriate trigonometric substitution dt V2 - 6t + 13 Evaluate the integral using an appropriate trigonometric substitution