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Popular >

integral of x^4inx

Solution

\int x^{4} in x d x

Solution

\frac{in x ^{6}}{6} + C

Solution steps

\int x^{4} 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^{4} x d x

Simplify

x^{4} x : x^{5}

= in \cdot \int x^{5} d x

Apply the Power Rule

: \frac{x ^{6}}{6}

= in \frac{x ^{6}}{6}

Multiply fractions:

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

= \frac{in x ^{6}}{6}

Add a constant to the solution

= \frac{in x ^{6}}{6} + C

Graph

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\int 2 x arctan (x^{2}) d x

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\int - 0.08 x + 32 d x

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\int x^{13} ln (9 x^{7}) d x

integral of 5xe^{4x^2}

\int 5 x e^{4 x^{2}} d x

integral of ((x^3+5x^2-4))/(x^2)

\int \frac{( x ^{3} + 5 x ^{2} - 4 )}{x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral of x^4inx ?
The integral of x^4inx is (inx^6)/6+C