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Popular >

integral of xe^{1x}

Solution

\int x e^{1 x} d x

Solution

e^{x} x - e^{x} + C

Solution steps

\int x e^{1 \cdot x} d x

Simplify

= \int e^{x} x d x

Apply Integration By Parts

: e^{x} x - \int e^{x} d x

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

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

= e^{x} x - e^{x}

Add a constant to the solution

= e^{x} x - e^{x} + C

Popular Examples

integral of sqrt(x)(1+x)

\int x (1 + x) d x

integral of sin^2(4x)cos^5(4x)

\int sin^{2} (4 x) cos^{5} (4 x) d x

integral of ((x^3))/4

\int \frac{( x ^{3} )}{4} d x

integral of (e^{3x})/(e^{3x)-1}

\int \frac{e ^{3 x}}{e ^{3 x} - 1} d x

integral of 10x^5

\int 10 x^{5} d x

Frequently Asked Questions (FAQ)

What is the integral of xe^{1x} ?
The integral of xe^{1x} is e^xx-e^x+C