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Popular >

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

: \frac{x ^{4}}{4}

= 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 sec^2(x)+7

\int sec^{2} (x) + 7 d x

\int k y d y

derivative of (3x^7-7x+11/(2x^3))

\frac{d}{d x} (\frac{3 x ^{7} - 7 x + 11}{2 x ^{3}})

integral of sqrt(6+10x-x^2)

\int 6 + 10 x - x^{2} d x

(\partial)/(\partial y)(xyz+xy^2+yz^2+zx^2)

\frac{\partial}{\partial y} (x yz + x y^{2} + y z^{2} + z x^{2})

Frequently Asked Questions (FAQ)

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