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Popular >

integral of cx^2

Solution

\int c x^{2} d x

Solution

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

Solution steps

\int c x^{2} d x

Take the constant out:

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

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

Apply the Power Rule

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

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

Multiply fractions:

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

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

Add a constant to the solution

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

Popular Examples

(\partial)/(\partial u(v))((e^v)/(u(v)+v^2))

\frac{\partial}{\partial u ( v )} (\frac{e ^{v}}{u ( v ) + v ^{2}})

integral of (x^2-2)/(x-1)

\int \frac{x ^{2} - 2}{x - 1} d x

\frac{d x}{d t} = k + x r

derivative of f(x)=x^2cos^4(x)derivative of

f (x) = x^{2} cos^{4} (x)

integral of 4t^3

\int 4 t^{3} d t

Frequently Asked Questions (FAQ)

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