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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

derivative of 1/((x^4+5^5))

\frac{d}{d x} (\frac{1}{( x ^{4} + 5 ) ^{5}})

integral of x^2cos(6x)

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

integral of sqrt(5-4x)

\int 5 - 4 x d x

(\partial)/(\partial x)((x^2+x-y)^7)

\frac{\partial}{\partial x} ((x^{2} + x - y)^{7})

derivative of x^3+7x

\frac{d}{d x} (x^{3} + 7 x)

Frequently Asked Questions (FAQ)

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