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Popular >

integral of (pix)/2

Solution

\int \frac{π x}{2} d x

Solution

\frac{π x ^{2}}{4} + C

Solution steps

\int \frac{π x}{2} d x

Take the constant out:

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

= \frac{π}{2} \cdot \int x d x

Apply the Power Rule

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

= \frac{π}{2} \cdot \frac{x ^{2}}{2}

Simplify

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

= \frac{π x ^{2}}{4}

Add a constant to the solution

= \frac{π x ^{2}}{4} + C

Popular Examples

integral of (1-y^2)^{3/2}

\int (1 - y^{2})^{\frac{3}{2}} d y

integral of x/(x^2+4x+6)

\int \frac{x}{x ^{2} + 4 x + 6} d x

integral of cos^3(x)cos(x)

\int cos^{3} (x) cos (x) d x

integral of 1/(5+4cos(θ))

\int \frac{1}{5 + 4 cos ( θ )} d θ

integral of 3x^2(x^3+1)^5

\int 3 x^{2} (x^{3} + 1)^{5} d x

Frequently Asked Questions (FAQ)

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