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Popular >

integral of 2pix

Solution

\int 2 π x d x

Solution

π x^{2} + C

Solution steps

\int 2 π x d x

Take the constant out:

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

= 2 π \cdot \int x d x

Apply the Power Rule

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

= 2 π \frac{x ^{2}}{2}

Simplify

2 π \frac{x ^{2}}{2} : π x^{2}

= π x^{2}

Add a constant to the solution

= π x^{2} + C

Graph

Popular Examples

tangent of y=x^2-3 tangent of

y = x^{2} - 3

y^'e^{-x}=y^2+9

y^{^{'}} e^{- x} = y^{2} + 9

(d^2)/(dx^2)(2cos(x/2))

\frac{d ^{2}}{d x ^{2}} (2 cos (\frac{x}{2}))

derivative of 2e^{x^2-5x}derivative of

2 e^{x^{2} - 5 x}

limit as x approaches-3 of (x^2+9)/(x+3)

x \to - 3 lim (\frac{x ^{2} + 9}{x + 3})

Frequently Asked Questions (FAQ)

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