`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`

IfI_(m,n)=int cos^(m)x sin nxdx, then 7I_(4,3)-4I_(3,2) i se q u a lto (a)constant (b)-cos^(2)x+C-cos^(4)x cos3x+C(d)cos7x-cos4x+C

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

Let int cos^(3)xdx = m sin x +(sin^(3)x)/n+c , then n+2m is equal to

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

If I_n=intsin^n xdxn in N , t h e n5I_4-6I_6 is equal to s in x(cosx)^5+c b. sin2x cos2x+c c. (s in2x)/8(cos^2 2x+1-2cos2x)+c d. (s in2x)/8(cos^2 2x+1+2cos2x)+c

If cos x=t a n x , then which of the following is true? (a) 1/(sinx)+cos^4x=1 (b) 1/(sinx)+cos^4x=2 (c) cos^(54)x+cos^2x=1 (d) cos^4x+cos^2x=2

Evaluate: (i) intcot^2x cos e c^4x\ \ dx (ii) intcos e c^4x\ dx