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Popular >

integral of e^x(x)

Solution

\int e^{x} (x) d x

Solution

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

Solution steps

\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

Graph

Popular Examples

integral of 5/(x+3)

\int \frac{5}{x + 3} d x

integral of (2x+3)(x^2+3x)^2

\int (2 x + 3) (x^{2} + 3 x)^{2} d x

integral of (x^2)/(\sqrt[4]{5+x^3)}

\int \frac{x ^{2}}{4 5 + x ^{3}} d x

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

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

integral of (x^4-1)/(x^3-x^2+9x-9)

\int \frac{x ^{4} - 1}{x ^{3} - x ^{2} + 9 x - 9} d x

Frequently Asked Questions (FAQ)

What is the integral of e^x(x) ?
The integral of e^x(x) is e^xx-e^x+C