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Popular >

integral of pix

Solution

\int π x d x

Solution

\frac{π x ^{2}}{2} + C

Solution steps

\int π x d x

Take the constant out:

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

= π \cdot \int x d x

Apply the Power Rule

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

= π \frac{x ^{2}}{2}

Multiply fractions:

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

= \frac{π x ^{2}}{2}

Add a constant to the solution

= \frac{π x ^{2}}{2} + C

Popular Examples

derivative of in^2(x+3)

\frac{d}{d x} (i n^{2} (x + 3))

integral from 0 to 4 of sqrt(2x+1)

\int_{0}^{4} 2 x + 1 d x

limit as x approaches 3+of 6/((x-3)^5)

x \to 3 + lim (\frac{6}{( x - 3 ) ^{5}})

derivative of y= 4/(x^4)derivative of

y = \frac{4}{x ^{4}}

(x + 2)^{^{'}}

Frequently Asked Questions (FAQ)

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