Solve \int _(0)^(1)(e^(x)-x^(5))dx

Evaluate

\int_{0}^{1} (e^{x} - x^{5}) d x

Evaluate the integral

\int (e^{x} - x^{5}) 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 e^{x} d x + \int - x^{5} d x

Use the property of integral \int e^{x} d x = e^{x}

e^{x} + \int - x^{5} d x

Evaluate the integral

More Steps

e^{x} - \frac{x ^{6}}{6}

Return the limits

(e^{x} - \frac{x ^{6}}{6})_{0}^{1}

Solution

More Steps

\frac{6 e - 7}{6}

Alternative Form

\approx 1.551615