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Popular >

integral of e^x(1+x)

Solution

integral

e^{x} (1 + x)

Solution

e^{x} x + C

Solution steps

\int e^{x} (1 + x) d x

Apply Integration By Parts

: e^{x} (1 + x) - \int e^{x} d x

= e^{x} (1 + x) - \int e^{x} d x

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

= e^{x} (1 + x) - e^{x}

Simplify

e^{x} (1 + x) - e^{x} : e^{x} x

= e^{x} x

Add a constant to the solution

= e^{x} x + C

Popular Examples

integral of (2x+3)^7 integral

(2 x + 3)^{7}

integral of a/((x^2+a^2))integral

\frac{a}{( x ^{2} + a ^{2} )}

integral of 6(2-x)^5 integral

6 (2 - x)^{5}

integral of 4x^2+5 integral

4 x^{2} + 5

integral of (3x)/((6-3x)^{1/2)}integral

\frac{3 x}{( 6 - 3 x ) ^{\frac{1}{2}}}

Frequently Asked Questions (FAQ)

What is the integral of e^x(1+x) ?
The integral of e^x(1+x) is e^xx+C