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Popular Calculus >

integral of sex(x)

Solution

\int se x (x)

Solution

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

Solution steps

\int se xx d s

Take the constant out:

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

= xx e \cdot \int s d s

Simplify

xx e : e x^{2}

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

Apply the Power Rule

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

Multiply fractions:

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

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

Add a constant to the solution

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

Graph

Popular Examples

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s l o p e y = \frac{7}{x}

integral from 0 to infinity of 12e^{-6x}

\int_{0}^{\infty} 12 e^{- 6 x} d x

integral of (4sqrt(x^2+16))/(x^4)

\int \frac{4 x ^{2} + 16}{x ^{4}} d x

integral of-sec^2((7x)/6)

\int - sec^{2} (\frac{7 x}{6}) d x

Frequently Asked Questions (FAQ)

What is the integral of sex(x) ?
The integral of sex(x) is (ex^2s^2)/2+C