" 2.(a) "int_(-1)^(2)2^(x)dx

int_(1)^(2)|2x-1|dx

Evaluate : (i) int_(-pi//2)^(pi//2)|sinx|dx (ii) int_(-1)^(1)e^(|x|)dx (iii) int_(-2)^(1)|2x+1|dx .

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

sketh the region whose area is represented by the definite integral and evaluat the integral using an appropriate formula form geometry. (a). int_(1)^(4) 2dx (b). int_(-1)^(2) (x+2)dx (c) int_(0)^(1) sqrt(1-x^(2))dx

IfI_(1)=int_(0)^(1)2^(x^(2)),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 which of the following is/are true? I_(1)>I_(2)(b)I_(2)>I_(1)I_(3)>I_(4)(d)I_(3)

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 and I_(4)=int_(1)^(2) 2^(x^(2))dx then

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 and I_(4)=int_(1)^(2) 2^(x^(3))dx then

Let I_(1)=int_(1)^(2)(x)/(sqrt(1+x^(2)))dx and I_(2)=int_(1)^(2)(1)/(x)dx .Then