Solve \(\int_{0}^{\frac{\pi}{2}}\left(x^{2}+cos x\rig

Evaluate

\int_{0}^{\frac{π}{2}} (x^{2} + cos (x)) d x

Evaluate the integral

\int (x^{2} + cos (x)) d x

Use the property of integral \int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

\int x^{2} d x + \int cos (x) d x

Evaluate the integral

More Steps

\frac{x ^{3}}{3} + \int cos (x) d x

Use the property of integral \int cos (x) d x = sin (x)

\frac{x ^{3}}{3} + sin (x)

Return the limits

(\frac{x ^{3}}{3} + sin (x))_{0}^{\frac{π}{2}}

Solution

More Steps

\frac{π ^{3} + 24}{24}

Alternative Form

\approx 2.291928