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Popular >

integral of nx

Solution

\int n x d x

Solution

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

Solution steps

\int n x d x

Take the constant out:

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

= n \cdot \int x d x

Apply the Power Rule

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

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

Multiply fractions:

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

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

Add a constant to the solution

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

Popular Examples

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

\frac{d}{d x} (\frac{2}{( 1 - 2 x ) ^{2}})

integral of (2x^4+1)/(5x^3)

\int \frac{2 x ^{4} + 1}{5 x ^{3}} d x

derivative of (xsinh(x+cos(x))^5)

\frac{d}{d x} ((x sinh (x) + cos (x))^{5})

integral of xsin(1/10)x

\int x sin (\frac{1}{10}) x d x

integral from 0 to 1 of 2pi(x+9)x^2

\int_{0}^{1} 2 π (x + 9) x^{2} d x

Frequently Asked Questions (FAQ)

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