integration of sinx +cosx/16 + 9sin2x w.r.t. x

Question

integration of sinx +cosx/16 + 9sin2x w.r.t. x

Answer 1

Rewrite sin x + cos (1/16)x + 9 sin 2x as sin x + cos (1/16)x + 9(2)(sin x)(cos x).

Then sin x + cos (1/16)x + 9(2)(sin x)(cos x) integrates term-by-term to

-cos x + 16 sin (1/16)x + 9sin²x.