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2x 3) Let f(x) = 3V9+x2 a) Evaluate the definite integral 1393 f(x)dx, using Trigonometric substitution....
Evaluate the following integral using trigonometric substitution. dx s 3 2 (529 + x2) dx 3 2 (529 +x2) (Type an exact answer.)
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 the trigonometric substitution method. zu +9 dx x2
Please show all steps. Evaluate the integral using a trigonometric substitution. Jo (4 – x2) 312 * - *2)3/2 dx
Evaluate the following integral using trigonometric substitution. dx S 3 2 (1+x²) dx S 11 2 (Type an exact answer.)
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...
10. (16) Find each indefinite integral using u-substitution: a. x?(1–2x")*dx b. ſxcos(x2 – 1) dx
In Problems 14-18, evaluate the given definite or indefinite integral, using u-substitution if appropriate. (12 points each) x + 3x -4 dx r? 14. 15. S (x+12 +2x - 3)dx
Leta and b be constants. Evaluate the definite integral by using integration by substitution Sx².ex® dx You must show your substitution and your work, using the Fundamental Theorem of Calculus to receive credit. Simplify your answer,
10. (16) Find each indefinite integral using u-substitution: a. (x*(1-2x°)* dx b. fxcos (x2 - 1) dx