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Popular >

integral of e^2x

Solution

integral

e^{2} x

Solution

\frac{e ^{2} x ^{2}}{2} + C

Solution steps

\int e^{2} x d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= e^{2} \cdot \int x d x

Apply the Power Rule

: \frac{x ^{2}}{2}

= e^{2} \frac{x ^{2}}{2}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{e ^{2} x ^{2}}{2}

Add a constant to the solution

= \frac{e ^{2} x ^{2}}{2} + C

Graph

Popular Examples

integral of sin^3(x+2)integral

sin^{3} (x + 2)

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

(\frac{x + 1}{x})^{3}

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

\frac{- 1}{x ^{2}}

integral of e^{-2}x integral

e^{- 2} x

integral of e^3x integral

e^{3} x

Frequently Asked Questions (FAQ)

What is the integral of e^2x ?
The integral of e^2x is (e^2x^2)/2+C