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Popular >

integral of 2pix^3

Solution

\int 2 π x^{3} d x

Solution

\frac{π x ^{4}}{2} + C

Solution steps

\int 2 π x^{3} d x

Take the constant out:

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

= 2 π \cdot \int x^{3} d x

Apply the Power Rule

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

= 2 π \frac{x ^{4}}{4}

Simplify

2 π \frac{x ^{4}}{4} : \frac{π x ^{4}}{2}

= \frac{π x ^{4}}{2}

Add a constant to the solution

= \frac{π x ^{4}}{2} + C

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\int \frac{15 x ^{2}}{( 9 - 2 x ^{3} ) ^{6}} d x

Frequently Asked Questions (FAQ)

What is the integral of 2pix^3 ?
The integral of 2pix^3 is (pix^4)/2+C