`int_(0)^(a)(dx)/(4+x^(2))=(pi)/(8)` , find a

If int_(0)^(a) (1)/(1+4x^(2)) dx = pi/8 , then a=

int_(0)^(pi//4)(dx)/((1+cos2x))

If int_0^a1/(4+x^2)dx=pi/8 , find the value of adot

Statement-1: int_(0)^(pi//2) (1)/(1+tan^(3)x)dx=(pi)/(4) Statement-2: int_(0)^(a) f(x)dx=int_(0)^(a) f(a+x)dx

Evaluate : (i) int_(-oo)^(oo) (dx)/(x^(2)+2x+2) , (ii) int_(sqrt(2))^(oo)(dx)/(xsqrt(x^(2)-1)) , (iii) int_(0)^(4)(x^(2))/(1+x)dx (iv) int_(0)^(pi//2) sqrt(costheta)sin^(3)theta

Consider A =int_(0)^((pi)/(4))(sin(2x))/(x)dx, then

Evaluate: int_(0)^(pi) e^(2x) sin ((pi)/(4) + x)dx

If int_0^k1/(2+8x^2)dx=pi/(16) ,find the value of k.

Evaluate the following : int_(0)^(pi//2)(dx)/(a^(2)cos^(2)x+b^(2)sin^(2)x)

int_(0)^(pi//4) cos^(2) x dx