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Popular >

integral of e^rr+e^r

Solution

\int e^{r} r + e^{r} d r

Solution

e^{r} r + C

Solution steps

\int e^{r} r + e^{r} d r

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^{r} r d r + \int e^{r} d r

\int e^{r} r d r = e^{r} r - e^{r}

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

= e^{r} r - e^{r} + e^{r}

Simplify

= e^{r} r

Add a constant to the solution

= e^{r} r + C

Graph

Popular Examples

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y^{^{''}} - 3 y^{^{'}} - 4 y = 3 e^{2 x}

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\int_{2}^{3} 3 x d x

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\int_{0}^{\frac{π}{4}} (tan (x))^{2} d x

derivative of-6x^3

\frac{d}{d x} (- 6 x^{3})

Frequently Asked Questions (FAQ)

What is the integral of e^rr+e^r ?
The integral of e^rr+e^r is e^rr+C