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Popular >

integral of (p+2)e^p

Solution

\int (p + 2) e^{p} d p

Solution

e^{p} p + e^{p} + C

Solution steps

\int (p + 2) e^{p} d p

Apply Integration By Parts

: e^{p} (p + 2) - \int e^{p} d p

= e^{p} (p + 2) - \int e^{p} d p

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

= e^{p} (p + 2) - e^{p}

Simplify

e^{p} (p + 2) - e^{p} : e^{p} p + e^{p}

= e^{p} p + e^{p}

Add a constant to the solution

= e^{p} p + e^{p} + C

Graph

Popular Examples

integral of 1/(2+8x^2)

\int \frac{1}{2 + 8 x ^{2}} d x

integral of (sin^2(t))/(cos(t))

\int \frac{sin ^{2} ( t )}{cos ( t )} d t

integral of (4x^2-1)/(1+x^2)

\int \frac{4 x ^{2} - 1}{1 + x ^{2}} d x

integral of 2/(sqrt(e^{4x)-1)}

\int \frac{2}{e ^{4 x} - 1} d x

integral of 200+10x+1/3 x^2

\int 200 + 10 x + \frac{1}{3} x^{2} d x

Frequently Asked Questions (FAQ)

What is the integral of (p+2)e^p ?
The integral of (p+2)e^p is e^pp+e^p+C