int cos x^(0)

Evaluate the integerals. int cos (log x) dx on (0,oo).

Q.the value of the integral int_(0)^((pi)/(4))(cos^(2)x)/(sin x+cos x)+int_((pi)/(4))^(0)(sin^(2))/(sin x+cos x)

True or False: underset0 overset(pi)int cos^5 x dx ne 0

Prove that int_(0)^(a) f(x) dx = int_(0)^(a) f(a-x) dx . Hence, evaluate int_(0)^(pi//2) (sin x - cos x)/(1+ sin x cos x) dx.

int _(0) ^(pi) (cos ^(2) x ) dx,

int_(0)^( pi)|cos x|^(3)dx

If f(x)=cos x-int_(0)^(x)(x-t)f(t)dt, then f'(x)+f(x) equals

int sin ^ (- 1) (cos x) dx, 0 <= x <= pi

If f (x) =int _(0)^(g(x))(dt)/(sqrt(1+t ^(3))),g (x) = int _(0)^(cos x ) (1+ sint ) ^(2) dt, then the value of f'((pi)/(2)) is equal to:

If f (x) =int _(0)^(g(x))(dt)/(sqrt(1+t ^(3))),g (x) = int _(0)^(cos x ) (1+ sint ) ^(2) dt, then the value of f'((pi)/(2)) is equal to: