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Popular >

integral of-9x^4

Solution

\int - 9 x^{4} d x

Solution

- \frac{9 x ^{5}}{5} + C

Solution steps

\int - 9 x^{4} d x

Take the constant out:

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

= - 9 \cdot \int x^{4} d x

Apply the Power Rule

: \frac{x ^{5}}{5}

= - 9 \cdot \frac{x ^{5}}{5}

Multiply fractions:

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

= - \frac{9 x ^{5}}{5}

Add a constant to the solution

= - \frac{9 x ^{5}}{5} + C

Popular Examples

integral of 4/((x^2-64)^{1/2)}

\int \frac{4}{( x ^{2} - 64 ) ^{\frac{1}{2}}} d x

integral of t(2-3t^2)^2

\int t (2 - 3 t^{2})^{2} d t

integral of sec^2(8θ)

\int sec^{2} (8 θ) d θ

integral of sqrt(x^3)ln(2x)

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

integral of (6x+2)^2

\int (6 x + 2)^{2} d x

Frequently Asked Questions (FAQ)

What is the integral of-9x^4 ?
The integral of-9x^4 is -(9x^5)/5+C