Question 3. Evaluate the definite integral (show your steps!). T PV/2 e sin(x2) dx
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. X2 + 16x-4 S*** dx x2 - 4x Find the partial fraction decomposition of the integrand. 1 * +18 x2 + 16x-4 dx = x² - 4x JOdx Evaluate the indefinite integral. *x? + 16x-4 dx = 3 х - 4x
3. (36%) Evaluate the following (a) , (χo + 2χρ.ο) dam (b) limf dx. (DCT) 1+ x2 n-00 3. (36%) Evaluate the following (a) , (χo + 2χρ.ο) dam (b) limf dx. (DCT) 1+ x2 n-00
Evaluate the following: csc(x) cot(x) dx i) s 2-csc (x) ii) S x sin(4x) iii) 6. x sin(x2) dx iv) x x + 3y = 3
Calculus 3 Evaluate SOLVE NUMBER 30 Evaluate x2 dx dy (x + 4y3) dx dy x + 4y dx dy cos(2x + y) dy dx e-3x-4y dy dx
Evaluate the following integrals. S 5x-2 dx x2-4 s 9x+25 (x+3)2 dx 2 x3+3x2-4x-12 dx x2+x-6
Evaluate the following integral. ſex? (x2 + 4) dx
Evaluate the integral 1 ET sin(2²) dx dy by reversing the order of integration. With order reversed, 6 sin(x²) dy dx, where a = ,b= C= and d Evaluating the integral, So S, sin(x2) dx dy =
3) Evaluate the following integrals: 13 dx Jo (x2 +93/2 +9)3/2 dr