What is the integral of e^x-x^{2/5} ?

The integral of e^x-x^{2/5} is e^x-5/7 x^{7/5}+C

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integral of e^x-x^{2/5}

\int e^{x} - x^{\frac{2}{5}} d x

e^{x} - \frac{5}{7} x^{\frac{7}{5}} + C

Solution steps

\int e^{x} - x^{\frac{2}{5}} d x

Apply the Sum Rule:

\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^{\frac{2}{5}} d x

\int e^{x} d x = e^{x}

\int x^{\frac{2}{5}} d x = \frac{5}{7} x^{\frac{7}{5}}

= e^{x} - \frac{5}{7} x^{\frac{7}{5}}

Add a constant to the solution

= e^{x} - \frac{5}{7} x^{\frac{7}{5}} + C

\frac{3}{2 s + 1} \cdot \frac{1}{s}

\frac{d}{d x} ((x - \frac{1}{x})^{2})

t \to \frac{x}{2} lim (\frac{sin ( t )}{t})

(- 3.5) (4.3)

\frac{\partial}{\partial x} (- \frac{x}{y ^{2}})

What is the integral of e^x-x^{2/5} ?
The integral of e^x-x^{2/5} is e^x-5/7 x^{7/5}+C