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Popular >

integral of (x-1)^4

Solution

\int (x - 1)^{4} d x

Solution

\frac{( x - 1 ) ^{5}}{5} + C

Solution steps

\int (x - 1)^{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 - 1

= \frac{( x - 1 ) ^{5}}{5}

Add a constant to the solution

= \frac{( x - 1 ) ^{5}}{5} + C

Graph

Popular Examples

integral of 2x+7

\int 2 x + 7 d x

tangent of sqrt(x+1)tangent of

x + 1

y^{''}-ay^'-by=0

y^{^{''}} - a y^{^{'}} - b y = 0

derivative of \sqrt[5]{ln(7-x^2})

\frac{d}{d x} (5 ln (7 - x^{2}))

integral of (4x)/(sqrt(1+x^2))

\int \frac{4 x}{1 + x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral of (x-1)^4 ?
The integral of (x-1)^4 is ((x-1)^5)/5+C