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Popular >

integral of (x+8)^5

Solution

\int (x + 8)^{5} d x

Solution

\frac{( x + 8 ) ^{6}}{6} + C

Solution steps

\int (x + 8)^{5} d x

Apply u-substitution

: \int u^{5} d u

= \int u^{5} d u

Apply the Power Rule

: \frac{u ^{6}}{6}

= \frac{u ^{6}}{6}

Substitute back

u = x + 8

= \frac{( x + 8 ) ^{6}}{6}

Add a constant to the solution

= \frac{( x + 8 ) ^{6}}{6} + C

Popular Examples

integral of x(x-2)^{1/2}

\int x (x - 2)^{\frac{1}{2}} d x

integral of 1/((-3x+1)^7)

\int \frac{1}{( - 3 x + 1 ) ^{7}} d x

integral of x^4(e^{x^5})

\int x^{4} (e^{x^{5}}) d x

integral of (5x-4)^6

\int (5 x - 4)^{6} d x

integral of-1/5 x^{-6/5}

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

Frequently Asked Questions (FAQ)

What is the integral of (x+8)^5 ?
The integral of (x+8)^5 is ((x+8)^6)/6+C