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Popular >

integral of-7xy^4

Solution

\int - 7 x y^{4} d x

Solution

- \frac{7 y ^{4} x ^{2}}{2} + C

Solution steps

\int - 7 x y^{4} d x

Take the constant out:

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

= - 7 y^{4} \cdot \int x d x

Apply the Power Rule

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

= - 7 y^{4} \frac{x ^{2}}{2}

Multiply fractions:

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

= - \frac{7 y ^{4} x ^{2}}{2}

Add a constant to the solution

= - \frac{7 y ^{4} x ^{2}}{2} + C

Popular Examples

integral of csc(0.5)

\int csc (0.5) d x

integral of 5^{sqrt(x)} 1/(sqrt(x))

\int 5^{x} \frac{1}{x} d x

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

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

integral of (4x^3-x)/(x^2-x-30)

\int \frac{4 x ^{3} - x}{x ^{2} - x - 30} d x

integral of (13)/(4x^2+12x+9)

\int \frac{13}{4 x ^{2} + 12 x + 9} d x

Frequently Asked Questions (FAQ)

What is the integral of-7xy^4 ?
The integral of-7xy^4 is -(7y^4x^2)/2+C