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Popular >

integral of 2x^2

Solution

\int 2 x^{2} d x

Solution

\frac{2 x ^{3}}{3} + C

Solution steps

\int 2 x^{2} d x

Take the constant out:

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

= 2 \cdot \int x^{2} d x

Apply the Power Rule

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

= 2 \cdot \frac{x ^{3}}{3}

Multiply fractions:

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

= \frac{2 x ^{3}}{3}

Add a constant to the solution

= \frac{2 x ^{3}}{3} + C

Popular Examples

tangent of sqrt(x)+1/(sqrt(x^3))(1.2)tangent of

x + \frac{1}{x ^{3}} (1.2)

(\partial)/(\partial y)(3x^3y^2)

\frac{\partial}{\partial y} (3 x^{3} y^{2})

derivative of x(1-x)

\frac{d}{d x} (x (1 - x))

d/(dt)(sin(t^2))

\frac{d}{d t} (sin (t^{2}))

integral of e^{-x}x

\int e^{- x} x d x

Frequently Asked Questions (FAQ)

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