Solve \int x^2 d x ( x sin x cos x ) 2

Evaluate

\int x^{2} d x \times (x sin (x) cos (x)) \times 2

Remove the parentheses

\int x^{2} d x \times x sin (x) cos (x) \times 2

Evaluate the integral

More Steps

\frac{x ^{3}}{3} x sin (x) cos (x) \times 2

Multiply the terms

More Steps

\frac{x ^{4}}{3} sin (x) cos (x) \times 2

Multiply the terms

\frac{x ^{4} sin ( x ) cos ( x )}{3} \times 2

Multiply the terms

\frac{x ^{4} sin ( x ) cos ( x ) \times 2}{3}

Use the commutative property to reorder the terms

\frac{2 x ^{4} sin ( x ) cos ( x )}{3}

Solution

\frac{2 x ^{4} sin ( x ) cos ( x )}{3} + C, C \in R