evaluate using integration by parts Evaluate using integration...part. S x²inx.ax, where usinx. dy=x?dx.
Use integration by parts to evaluate {xinx x In x dx with u = In x and dy = x dx. x In x dx = 456
Evaluate the integral using integration by parts. e4 Sx x? In (x)dx 1 e 4 S x In (x)dx=0 (Type an exact answer.)
8. Sketch the region of integration and evaluate the integral re dx dy, where G is the region bounded by 0,1, -o,y-
8. Sketch the region of integration and evaluate the integral re dx dy, where G is the region bounded by 0,1, -o,y-
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 =
integration by parts
8. Evaluate the following integrals S cos cos(*)sinº (x)dx b zsin (x)dx
7. Evaluate the following integrals using integration by parts: a xe-ºrd sin (x)dx
Change the order of integration. 6" | vx2 + 16 dx dy The answer should be in the form See f(x, y) dy dx, where a sx sb and g1(x) < y = 82(x) are the bounds of the integration region. (Use symbolic notation and fractions where needed.) a= b= 81(x) = 82(x) = Evaluate the integral with new limits of integration. (Use symbolic notation and fractions where needed.) 6" Sv Vx3 + 16 dx dy =
Evaluate the following integral using integration by parts. ( 164 16x In 9x dx Use the integration by parts formula so that the new integral is simpler than the original one. Choose the correct answer below. O A. 8x In (8x?) - S(9x) di O B. 9x In (9x) S(8x2) OC. 8x? In (9x) – (8x) dx D. 8x In (8x) – (9x) dx
8. Interchange the order of integration and evaluate the integral So Size** dx dy.
Exercise 1. Evaluate the following integrals by reversing the oder of integration: 1 c3 2 a) Jo J3y dy dx; (d,) ev dy dx.
Exercise 1. Evaluate the following integrals by reversing the oder of integration: 1 c3 2 a) Jo J3y dy dx; (d,) ev dy dx.