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Popular >

integral of (-4xy^2)

Solution

\int (- 4 x y^{2}) d x

Solution

- 2 y^{2} x^{2} + C

Solution steps

\int - 4 x y^{2} d x

Take the constant out:

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

= - 4 y^{2} \cdot \int x d x

Apply the Power Rule

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

= - 4 y^{2} \frac{x ^{2}}{2}

Simplify

- 4 y^{2} \frac{x ^{2}}{2} : - 2 y^{2} x^{2}

= - 2 y^{2} x^{2}

Add a constant to the solution

= - 2 y^{2} x^{2} + C

Graph

Popular Examples

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\int \frac{1}{x ^{2} + 2 x - 6} d x

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

integral of x^8sin(x^9)

\int x^{8} sin (x^{9}) d x

integral of (y^2)/(y^2)

\int \frac{y ^{2}}{y ^{2}} d y

integral of 1/(cos(x)sec(x))

\int \frac{1}{cos ( x ) sec ( x )} d x

Frequently Asked Questions (FAQ)

What is the integral of (-4xy^2) ?
The integral of (-4xy^2) is -2y^2x^2+C