Evaluate the integral
Hint: trigonometric substitution can be useful
Evaluate the integral Hint: trigonometric substitution can be useful
Evaluate the integral using an appropriate trigonometric substitution dt V2 - 6t + 13 Evaluate the integral using an appropriate trigonometric substitution
Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of integration.)
Evaluate the following integral using the trigonometric
substitution method.
zu +9 dx x2
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
3. Use the trigonometric substitution r = a sin(0) to evaluate the following indefinite integral: da
Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of integration.) $$ \int \frac{x^{3}}{\sqrt{x^{2}+25}} d x, \quad x=5 \tan (\theta) $$
Please show all steps.
Evaluate the integral using a trigonometric substitution. Jo (4 – x2) 312 * - *2)3/2 dx
(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.)
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.
Evaluate the following integral using trigonometric substitution. 7x² dx (121 + x2) 7x² dx s (121 +x?)? (Type an exact answer.)