` int x^3(1-3x)^5 dx`

int(1-3x)^(5)dx

int (1-3x)(1+x) dx

int x(3x+7)^(5)dx

int x(3x+7)^(5)dx

Evaluate: int(x^3-1)^(1/3)x^5dx

int (1-x^2 - 3x^5) dx

int x(1+3x^2)^(5/2) dx

inte^((1-3x))dx

(i) int_4^5 1dx (ii) int_-1^2 x dx (iii) int_0^4 x^(1//2) dx (iv) int_0^4 x^(3//2) dx (v) int_0^8 x^(5//3) dx

Calculate: (a) int(x^3-1/x+3x)dx (b) int(x^2+2)dx ,