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Popular >

integral of pix^2

Solution

\int π x^{2} d x

Solution

\frac{π x ^{3}}{3} + C

Solution steps

\int π x^{2} d x

Take the constant out:

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

= π \cdot \int x^{2} d x

Apply the Power Rule

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

= π \frac{x ^{3}}{3}

Multiply fractions:

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

= \frac{π x ^{3}}{3}

Add a constant to the solution

= \frac{π x ^{3}}{3} + C

Popular Examples

integral of x^{-3}sin(x)

\int x^{- 3} sin (x) d x

y^{^{'}} - y = 5

integral of sin^5(4x)cos^2(4x)

\int sin^{5} (4 x) cos^{2} (4 x) d x

integral of x^3*6^{-x}

\int x^{3} \cdot 6^{- x} d x

derivative of sin(2x^3-4x)

\frac{d}{d x} (sin (2 x^{3} - 4 x))

Frequently Asked Questions (FAQ)

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