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Popular >

integral of 8x^3

Solution

integral

8 x^{3}

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

Graph

Popular Examples

integral of f(1/x) 1/(x^2)

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

integral of (-4)/(sqrt(x^9))

\int \frac{- 4}{x ^{9}} d x

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

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

integral of (x^4-x+1)/(x^3-x^2)

\int \frac{x ^{4} - x + 1}{x ^{3} - x ^{2}} d x

integral of 1/(x*sqrt(x^2-2))

\int \frac{1}{x \cdot x ^{2} - 2} d x

Frequently Asked Questions (FAQ)

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