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Popular >

integral of pi*x

Solution

\int π \cdot 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

limit as x approaches 1 of x^{5/(x^2-1)}

x \to 1 lim (x^{\frac{5}{x ^{2} - 1}})

f(x)=xarcsin(x)

f (x) = x arcsin (x)

derivative of (6x+5/(sqrt(7-3x^2)))

\frac{d}{d x} (\frac{6 x + 5}{7 - 3 x ^{2}})

integral from 0 to 2pi of (1+sin(u))

\int_{0}^{2 π} (1 + sin (u)) d u

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

Frequently Asked Questions (FAQ)

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