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Popular Calculus >

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

= 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

Graph

Popular Examples

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integral of 3cos(x)+2sin(x)

Frequently Asked Questions (FAQ)

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