[" (c) "cos(4x+5)quad " (d) "sec^(2)(7-4x)],[" 5.(a) "cos^(3)x]

If intsin^(5)x cos^(4)x dx =A cos^(9) x +B cos^(7)x+C cos^(5)x+D ,then 9A +7B +5C=

If intsin^(5)x cos^(4)x dx =A cos^(9) x +B cos^(7)x+C cos^(5)x+D ,then 9A +7B +5C=

2cosx-cos3x-cos5x= ............... A) 16 cos ^(3) x sin ^(2) x B) 16 sin^(2) x cos ^(2) x C) 4 cos ^(2) x sin ^(2) x D) 4 sin ^(2) x cos ^(2)x

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

int ((cos 6x+6cos 4x+ 15 cos 2x+10)/(10 cos ^(2) x +5 cos x cos 3 x+ cos x cos 5 x ))dx =f (x)+C, then f (10) is equal to:

int ((cos 6x+6cos 4x+ 15 cos 2x+10)/(10 cos ^(2) x +5 cos x cos 3 x+ cos x cos 5 x ))dx =f (x)+C, then f (10) is equal to:

A: int (2cos x +3sin x)/(4cos x+5 sin x)dx= (-2)/(41)log|4cos x+5Sinx|+(23)/(41)x+c R: int (a cos x+b sin x)/(c cos x+d sin x)dx= (ac+bd)/(c^(2)+d^(2))x+(ad-bc)/(c^(2)+d^(2))log|c cos x+d sin x |+k

Find the derivative of the following functions: (i) sin x cos x (ii) sec x (iii) 5sec x+4 cos x (iv) cosec x (v) 3 cot x+5 cosec x (vi) 5sinx-6cosx+7 (vii) 2tanx-7secx

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