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Popular >

integral of 1nx

Solution

\int 1 n x d x

Solution

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

Solution steps

\int 1 \cdot n x d x

Take the constant out:

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

= 1 \cdot n \cdot \int x d x

Simplify

= 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

Graph

Popular Examples

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

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

integral of x(7x^2+5)^3

\int x (7 x^{2} + 5)^{3} d x

integral of (5x-3)/(x^2+3x+2)

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

integral of cos^4(3x+2)

\int cos^{4} (3 x + 2) d x

integral of r^3sqrt(4-r^2)

\int r^{3} 4 - r^{2} d r

Frequently Asked Questions (FAQ)

What is the integral of 1nx ?
The integral of 1nx is (nx^2)/2+C