What is the integral of xtan(8)x^2 ?

The integral of xtan(8)x^2 is 1/4 tan(8)x^4+C

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integral of xtan(8)x^2

\int x tan (8) x^{2} d x

\frac{1}{4} tan (8) x^{4} + C

Solution steps

\int x tan (8) x^{2} d x

Take the constant out:

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

= tan (8) \cdot \int x x^{2} d x

Simplify

x x^{2} : x^{3}

= tan (8) \cdot \int x^{3} d x

Apply the Power Rule

= tan (8) \frac{x ^{4}}{4}

Simplify

tan (8) \frac{x ^{4}}{4} : \frac{1}{4} tan (8) x^{4}

= \frac{1}{4} tan (8) x^{4}

Add a constant to the solution

= \frac{1}{4} tan (8) x^{4} + C

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What is the integral of xtan(8)x^2 ?
The integral of xtan(8)x^2 is 1/4 tan(8)x^4+C