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Popular >

integral of (x-1)^5

Solution

\int (x - 1)^{5} d x

Solution

\frac{( x - 1 ) ^{6}}{6} + C

Solution steps

\int (x - 1)^{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 - 1

= \frac{( x - 1 ) ^{6}}{6}

Add a constant to the solution

= \frac{( x - 1 ) ^{6}}{6} + C

Popular Examples

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e^{- t} cos (2 t)

limit as x approaches 0+of (1/5)^{1/x}

x \to 0 + lim ((\frac{1}{5})^{\frac{1}{x}})

(\partial)/(\partial x)(x^{1/2}y^{1/2}z)

\frac{\partial}{\partial x} (x^{\frac{1}{2}} y^{\frac{1}{2}} z)

integral from 0 to 6 of sqrt(1+x)

\int_{0}^{6} 1 + x d x

limit as x approaches 3+of (x+9)/(x-3)

x \to 3 + lim (\frac{x + 9}{x - 3})

Frequently Asked Questions (FAQ)

What is the integral of (x-1)^5 ?
The integral of (x-1)^5 is ((x-1)^6)/6+C