∫ x sin^3 x^2 cos x^2​​​​​​​ dx = ?

Question

Mark (√) against the correct answer of the following:

∫ x sin³ x² cos x² dx = ?

A. \(\frac{1}{4}\)sin⁴ x² + C

B. \(\frac{1}{8}\)sin⁴ x² + C

C. \(\frac{1}{2}\)sin⁴ x² + C

D. None of these

Answer 1

Formula :-

Therefore,

Put sin x² = t

\(\Rightarrow\) 2x cos x² dx = dt