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Popular >

integral of e^x(1+x)

Solution

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

d/(du)(ucos(v))

\frac{d}{d u} (u cos (v))

integral of 4/(x^2+1)

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

integral of (3x^2+1)^3x

\int (3 x^{2} + 1)^{3} x d x

limit as x approaches-1 of x/(x^2+1)

x \to - 1 lim (\frac{x}{x ^{2} + 1})

integral from 0 to 6 of sqrt(2x+1)

\int_{0}^{6} 2 x + 1 d x

Frequently Asked Questions (FAQ)

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