" 1."cos x^(3)*sin^(2)(x^(5))

Differentiate the functions with respect to x in Exerecises 1 to 8. cos x^(3). Sin^(2) (x^5) .

Differentiate the functions with respect to x in Exerecises 1 to 8. cos x^(3). Sin^(2) (x^5) .

Differentiate the functions with respect to x in Exerecises 1 to 8. cos x^(3). Sin^(2) (x^5) .

Differentiate the functions with respect to x in Exerecises 1 to 8. cos x^(3). Sin^(2) (x^5) .

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

int(sin^(2)x cos^(2)x)/((sin^(5)x+cos^(3)x sin^(2)x+sin^(3)x cos^(2)x+cos^(5)x)^(2))backslash dx

int(sin^(2)x cos^(2)x)/((sin^(5)x+cos^(3)x sin^(2)x+sin^(3)x cos^(2)x+cos^(5)x)^(2))backslash dx

The integral int(sin^(2)x cos^(2)x)/((sin^(5)x+cos^(3)x sin^(2)x+sin^(3)x cos^(2)x+cos^(5)x)^(2))dx is equal to (1) (1)/(3(1+tan^(3)x))+C(2)(-1)/(3(1+tan^(3)x))+C(3)(1)/(1+cot^(3)x)+C(4)(-1)/(1+cot^(3)x)+C

Prove that cos ^(3) x sin ^(2) x = (1)/(16) (2cos x - cos 3x - cos 5x).