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Popular >

integral of-8x^3

Solution

\int - 8 x^{3} d x

Solution

- 2 x^{4} + C

Solution steps

\int - 8 x^{3} d x

Take the constant out:

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

= - 8 \cdot \int x^{3} d x

Apply the Power Rule

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

= - 8 \cdot \frac{x ^{4}}{4}

Simplify

- 8 \cdot \frac{x ^{4}}{4} : - 2 x^{4}

= - 2 x^{4}

Add a constant to the solution

= - 2 x^{4} + C

Popular Examples

integral of sqrt(4x^2+25)

\int 4 x^{2} + 25 d x

integral of 1/(sqrt(x)(1-x))

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

integral of (6+4x)/(1+x^2)

\int \frac{6 + 4 x}{1 + x ^{2}} d x

integral of (x^2)/((x^2+3)^{3/2)}

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

integral of 2sqrt(1-x)

\int 2 1 - x d x

Frequently Asked Questions (FAQ)

What is the integral of-8x^3 ?
The integral of-8x^3 is -2x^4+C