`int_(-c/2)^(c/2)(dx)/((a+x)^(3/2))`

int_(2)^(3)(dx)/(x^(2)-x)=

int_(-a)^(a)(dx)/((x^(2)+a^(2))^((3)/(2)))

Compute the integrals : (a) int_(0)^(pi//2) sin 2x dx , (b) int_(pi//6)^(pi//2) (cos x)/(sin^(3) x) dx (c) int_(0)^(1) (dx)/( sqrt(16 - x^(2)))

If int(x^(2)+a^(2))/(x+a)dx=((x+a)^(2))/(2)+hx+klog(x+a)+c , then 2ah+k=

int log_(c)(1+x^(2))dx

The value of int_(-2)^(3)(|x|)/(x)dx is (a) 5 (b) 2 (c) -2 (d) 3

int(x^(2))/((x^(2)-4)^(3/2))dx=log|x+sqrt(x^(2)-4)|+A+c then A=

int(x^(2))/((x^(2)-4)^(3/2))dx=log|x+sqrt(x^(2)-4)|+A+c then A=

Which of the following is incorrect? int_(a+c)^(b+c)f(x)dx=int_(a)^(b)f(x+c)dxint_(a+c)^(bc)f(x)dx=c int_(a)^(b)f(cx)dxint_(-ac)^(a)f(x)dx=(1)/(2)int_(-a)^(a)(f(x)+f(-x)dx None of these