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Popular >

integral of kx^2

Solution

\int k x^{2} d x

Solution

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

Solution steps

\int k x^{2} d x

Take the constant out:

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

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

Apply the Power Rule

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

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

Multiply fractions:

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

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

Add a constant to the solution

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

Popular Examples

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\int \frac{1}{a - b x} d x

derivative of y=x^2-1 derivative of

y = x^{2} - 1

xy^'+y+yln(xy)=0

x y^{^{'}} + y + y ln (x y) = 0

Frequently Asked Questions (FAQ)

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