`IfI_(m , n)=intcos^m xsinn xdx , then 7I_(4,3)-4I_(3,2)" is equal to"` (a) constant (b) `-cos^2x+C` (c) `-cos^4xcos3x+C` (d) `cos7x-cos4x+C`

If I_(n)=int cos^(n)xdx, then I_(7)-(cos^(6)x sin x)/(7)=

intsin^(3)x.cos^(2)xdx is equal to

I= int cos 4 x cos 7 x dx .

If I_n=intsin^n xdx ; n in N , then 5I_4-6I_6 is equal to 1. sinx(cosx)^5+c 2. sin2xcos2x+c 3. (sin2x)/8(cos^2 2x+1-2cos2x)+c 4. (sin2x)/8(cos^2 2x+1+2cos2x)+c

If intcos^(4)xdx=Ax +B sin 2x+C sin 4x+D , then {A,B,C} equals to

Prove that 1 + cos 2x + cos 4x + cos 6x = 4 cos x *cos 2x *cos 3x .

Prove that 2cosx. Cos 3x- 2cos 5x. Cos 7x- cos 4x + cos12x=0 .

int_(0)^(x)|sin t|dt, where x in(2n pi,(2n+1)pi)n in N, is equal to (A)4n-cos x(B)4n-sin x(C)4n+1-cos x(D)4n-1-cos x

If 3sin x+4 cos x=2, then the value of 3 cos x -4 sin x is equal to: