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Popular >

integral of in^5x

Solution

\int i n^{5} x d x

Solution

\frac{i n ^{5} x ^{2}}{2} + C

Solution steps

\int i n^{5} x d x

Take the constant out:

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

= i n^{5} \cdot \int x d x

Apply the Power Rule

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

= i n^{5} \frac{x ^{2}}{2}

Multiply fractions:

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

= \frac{i n ^{5} x ^{2}}{2}

Add a constant to the solution

= \frac{i n ^{5} x ^{2}}{2} + C

Popular Examples

integral of (-3ln(x))/x

\int \frac{- 3 ln ( x )}{x} d x

integral of t/3

\int \frac{t}{3} d t

integral of (2x+1)/(x(x-2))

\int \frac{2 x + 1}{x ( x - 2 )} d x

integral of (4x^2+9)^2

\int (4 x^{2} + 9)^{2} d x

integral of (x^3+x+2)/(x^2+2x-8)

\int \frac{x ^{3} + x + 2}{x ^{2} + 2 x - 8} d x

Frequently Asked Questions (FAQ)

What is the integral of in^5x ?
The integral of in^5x is (in^5x^2)/2+C