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Popular >

integral of pi^4x^2

Solution

\int π^{4} x^{2} d x

Solution

\frac{π ^{4} x ^{3}}{3} + C

Solution steps

\int π^{4} x^{2} d x

Take the constant out:

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

= π^{4} \cdot \int x^{2} d x

Apply the Power Rule

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

= π^{4} \frac{x ^{3}}{3}

Multiply fractions:

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

= \frac{π ^{4} x ^{3}}{3}

Add a constant to the solution

= \frac{π ^{4} x ^{3}}{3} + C

Popular Examples

derivative of (3x^4/(e^x))

\frac{d}{d x} (\frac{3 x ^{4}}{e ^{x}})

3y^2=2y(x^4-x)(dy)/(dx)-3

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

integral from 2 to 3 of (30)/(sqrt(3-x))

\int_{2}^{3} \frac{30}{3 - x} d x

integral of e^{-t}*t

\int e^{- t} \cdot t d t

y^{''}+7y^'+12y=e^{2t}*sin(3t)

y^{^{''}} + 7 y^{^{'}} + 12 y = e^{2 t} \cdot sin (3 t)

Frequently Asked Questions (FAQ)

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