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Popular >

integral of In^3x

Solution

\int I n^{3} x d x

Solution

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

Solution steps

\int I n^{3} x d x

Take the constant out:

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

= I n^{3} \cdot \int x d x

Apply the Power Rule

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

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

Multiply fractions:

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

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

Add a constant to the solution

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

Graph

Popular Examples

integral of 24-0.03x+0.006x^2

\int 24 - 0.03 x + 0.006 x^{2} d x

integral of (x+1)^6

\int (x + 1)^{6} d x

integral of (4+5x)^5

\int (4 + 5 x)^{5} d x

integral of (xe^{x^2}-x/(x^2+7))

\int (x e^{x^{2}} - \frac{x}{x ^{2} + 7}) d x

integral of sqrt(x/(x+1))

\int \frac{x}{x + 1} d x

Frequently Asked Questions (FAQ)

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