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Popular >

integral of 8x^2

Solution

integral

8 x^{2}

Solution

\frac{8 x ^{3}}{3} + C

Solution steps

\int 8 x^{2} d x

Take the constant out:

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

= 8 \cdot \int x^{2} d x

Apply the Power Rule

: \frac{x ^{3}}{3}

= 8 \cdot \frac{x ^{3}}{3}

Multiply fractions:

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

= \frac{8 x ^{3}}{3}

Add a constant to the solution

= \frac{8 x ^{3}}{3} + C

Popular Examples

integral of (-2x^3)/(x^3+1)

\int \frac{- 2 x ^{3}}{x ^{3} + 1} d x

integral of 8x(4x^2+5)^4

\int 8 x (4 x^{2} + 5)^{4} d x

integral of sqrt(25-3x)

\int 25 - 3 x d x

integral of x/(1+ax)

\int \frac{x}{1 + a x} d x

integral of 3+2y

\int 3 + 2 y d y

Frequently Asked Questions (FAQ)

What is the integral of 8x^2 ?
The integral of 8x^2 is (8x^3)/3+C