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Popular Calculus >

integral of+sex^2x

Solution

\int + se x^{2} x d x

Solution

\frac{es x ^{4}}{4} + C

Solution steps

\int se x^{2} x d x

Take the constant out:

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

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

Simplify

x x^{2} : x^{3}

= se \cdot \int x^{3} d x

Apply the Power Rule

= se \frac{x ^{4}}{4}

Multiply fractions:

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

= \frac{es x ^{4}}{4}

Add a constant to the solution

= \frac{es x ^{4}}{4} + C

Graph

Popular Examples

integral of 1/(cos^2(bx))

\int \frac{1}{cos ^{2} ( b x )} d x

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

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

integral of (sqrt(x^2+5))/(x^2)

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

integral of-4sin(x/2)

\int - 4 sin (\frac{x}{2}) d x

integral of tan^{1/2}(x)

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

Frequently Asked Questions (FAQ)

What is the integral of+sex^2x ?
The integral of+sex^2x is (esx^4)/4+C