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Popular >

integral of (x+8)^4

Solution

\int (x + 8)^{4} d x

Solution

\frac{( x + 8 ) ^{5}}{5} + C

Solution steps

\int (x + 8)^{4} d x

Apply u-substitution

: \int u^{4} d u

= \int u^{4} d u

Apply the Power Rule

: \frac{u ^{5}}{5}

= \frac{u ^{5}}{5}

Substitute back

u = x + 8

= \frac{( x + 8 ) ^{5}}{5}

Add a constant to the solution

= \frac{( x + 8 ) ^{5}}{5} + C

Graph

Popular Examples

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\int e^{- \frac{t ^{2}}{2}} d t

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\int 3 x (x^{2} + 2)^{2} d x

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\int cos (\frac{π}{6} x) d x

integral of e^{-x^2+3}x

\int e^{- x^{2} + 3} x d x

integral of 1/(x^2-5x-6)

\int \frac{1}{x ^{2} - 5 x - 6} d x

Frequently Asked Questions (FAQ)

What is the integral of (x+8)^4 ?
The integral of (x+8)^4 is ((x+8)^5)/5+C