Integral: (1), ∫ (π / 2,0) sin θ cos ^ 3 (θ) d θ; (2), ∫ (π, 0) [1-sin ^ 3 (θ)] d θ; (3), ∫ (4,1) DX / (1 + √ x) thank you! And: (4), ∫ (π, 0) √ [1 + cos (2x)] DX; (5)、∫(1,0)xe^(-x)dx; (6)、∫(e,1)xln(x)dx; I'm not a student, I just want results,

Integral: (1), ∫ (π / 2,0) sin θ cos ^ 3 (θ) d θ; (2), ∫ (π, 0) [1-sin ^ 3 (θ)] d θ; (3), ∫ (4,1) DX / (1 + √ x) thank you! And: (4), ∫ (π, 0) √ [1 + cos (2x)] DX; (5)、∫(1,0)xe^(-x)dx; (6)、∫(e,1)xln(x)dx; I'm not a student, I just want results,

It's too simple. I'll look at the formulas by myself. These are very basic topics. The first topic, just take sin to the back of differential. The second topic, sin ^ 3 project, sin (1-cos ^ 2), is a little more flexible. The third topic, transform the integral formula, and the integral result should contain ln term