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Popular >

integral of In^4x

Solution

\int I n^{4} x d x

Solution

\frac{I n ^{4} x ^{2}}{2} + C

Solution steps

\int I n^{4} x d x

Take the constant out:

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

= I n^{4} \cdot \int x d x

Apply the Power Rule

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

= I n^{4} \frac{x ^{2}}{2}

Multiply fractions:

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

= \frac{I n ^{4} x ^{2}}{2}

Add a constant to the solution

= \frac{I n ^{4} x ^{2}}{2} + C

Popular Examples

integral of (4arctan(x))/(1+x^2)

\int \frac{4 arctan ( x )}{1 + x ^{2}} d x

integral of (e^x+1/(4x))

\int (e^{x} + \frac{1}{4 x}) d x

integral of x^3e^{x^6}

\int x^{3} e^{x^{6}} d x

integral of sqrt(1+(81x)/(64))

\int 1 + \frac{81 x}{64} d x

integral of (sin^5(x))/(cos(x))

\int \frac{sin ^{5} ( x )}{cos ( x )} d x

Frequently Asked Questions (FAQ)

What is the integral of In^4x ?
The integral of In^4x is (In^4x^2)/2+C