A Level

MATHEMATICS · Multi-part · A Level · Mathematics · Trigonometry · Trigonometry

Problem

Let f(x)=sin⁡3x cos⁡2xf(x)=\sin 3x\,\cos 2x. (i) Express f(x)f(x) as a sum or difference of single–angle sine functions. (ii) Hence evaluate ∫sin⁡3x cos⁡2x dx\displaystyle \int \sin 3x\,\cos 2x\,dx. (Give the constant of integration at the end.)

Related theory

Browse the problem library