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Popular >

integral of x^3inx

Solution

\int x^{3} in x d x

Solution

\frac{in x ^{5}}{5} + C

Solution steps

\int x^{3} in x d x

Take the constant out:

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

= in \cdot \int x^{3} x d x

Simplify

x^{3} x : x^{4}

= in \cdot \int x^{4} d x

Apply the Power Rule

: \frac{x ^{5}}{5}

= in \frac{x ^{5}}{5}

Multiply fractions:

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

= \frac{in x ^{5}}{5}

Add a constant to the solution

= \frac{in x ^{5}}{5} + C

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\int \frac{d}{1} tan (x) d x

integral from 1 to 4 of (x-2)^2

\int_{1}^{4} (x - 2)^{2} d x

Frequently Asked Questions (FAQ)

What is the integral of x^3inx ?
The integral of x^3inx is (inx^5)/5+C