The option(s) with the values of a and L that satisfy the following equation is (are) `(int_0^(4pi) e^t(sin^6 at +cos^4 at)dt)/(int_0^pi e^t (sin^6 at +cos^4 at)dt)=L`

The option(s) with the values of a and L that satisfy the following equation is (are) (int_0^(4pi)e^t(sin^6at+cos^4at)dt)/(int_0^pi e^t(sin^6at+cos^4at)dt)=L

The option(s) with the values of aa n dL that satisfy the following equation is (are) (int_0 ^(4pi)e^t(sin^6a t+cos^4at)dt)/(int_0^pie^t(sin^6at+cos^4a t)dt)=L

The options(s) with the values of a and L that satisfy the following equation is(are) (int_(0)^(4pi)e^(t)(sin^(6)at+cos^(4)at)dt)/(int_(0)^(pi)e^(t)(sin^(6)at+cos^(4)at)dt)=L?

Evaluate the following integrals: int_0^(pi/4) sin^3 2t cos 2t dt

int_(0)^(2 pi)[sin t]dt

Evaluate the following integral: int_0^(pi//4)sin^3 2tcos2t\ dt

Evaluate the following integral: int_0^(pi//4)sin^3 2tcos2t\ dt

Evaluate the following integral : int_0^(pi/4) sin^3(2t) cos(2t) dt

Prove that int_0^pi x sin^6xcos^4xdx=pi/2 int_0^pi sin^6xcos^4xdx

Prove that int_0^pi x sin^6xcos^4xdx=pi/2 int_0^pi sin^6xcos^4xdx