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

int (1)/((2-3x)^(2))dx=

"int(1)/((2-3x)^((3)/(2)))dx

"int_(1)^(3)(2x^(2)+3)dx

Evaluate : (i) int(2x)/((2x+1)^(2))dx (ii) int((2+3x))/((3-2x))dx

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

The area of the region for which is int_(1)^(3)(3-2x-x^(2))dx(b)int_(0)^(3)(3-2x-x^(2))dx int_(0)^(1)(3-2x-x^(2))dx (d) int_(-1)^(3)(3-2x-x^(2))dx*00

l_(1)=int_(0)^(1)3^(x^(2))dx,l_(2)=int_(0)^(1)3^(x^(3))dx,l_(3)=int_(1)^(2)3^(x^(2))dx,l_(4)=int_(1)^(2)3^(x^(3))dx then (i)I_(1)>I_(2)(ii)I_(2)>I_(1)(iii)I_(3)>I_(4)(iv)I_(4)>I_(3)

Evaluate: (i) int(x^(2)+x+5)/(3x+2)dx (ii) int(2x+3)/((x-1)^(2))dx

If I_(1) = int_(0)^(1) 2^(x^(2))dx, I_(2) = int_(0)^(1) 2^(x^(3))dx , I_(3) = int_(1)^(2) 2^(x^(2))dx, I_(4)=int_(1)^(2) 2^(x^(3))dx then