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Popular >

integral of (x-5)^4

Solution

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

Solution

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

Solution steps

\int (x - 5)^{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 - 5

= \frac{( x - 5 ) ^{5}}{5}

Add a constant to the solution

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

Graph

Popular Examples

integral of 10xe^x

\int 10 x e^{x} d x

integral of 20x^{-1/5}tan(x^{4/5})

\int 20 x^{- \frac{1}{5}} tan (x^{\frac{4}{5}}) d x

integral of (6x^2+1)

\int (6 x^{2} + 1) d x

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

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

integral of x^3(x^4+1)^5

\int x^{3} (x^{4} + 1)^{5} d x

Frequently Asked Questions (FAQ)

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