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Popular >

integral of (x+6)^5

Solution

\int (x + 6)^{5} d x

Solution

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

Solution steps

\int (x + 6)^{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 + 6

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

Add a constant to the solution

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

Popular Examples

integral of (x^2+1)/((x^3+3x)^{2/5)}

\int \frac{x ^{2} + 1}{( x ^{3} + 3 x ) ^{\frac{2}{5}}} d x

integral of ((sqrt(x)-2x^2))/x

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

integral of (x^{-3})/3

\int \frac{x ^{- 3}}{3} d x

integral of (3-x^3)/(x^2)

\int \frac{3 - x ^{3}}{x ^{2}} d x

integral of e^{-x}(2x+1)

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

Frequently Asked Questions (FAQ)

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