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Popular >

integral of (x-1)^3

Solution

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

Solution

\frac{( x - 1 ) ^{4}}{4} + C

Solution steps

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

Apply u-substitution

: \int u^{3} d u

= \int u^{3} d u

Apply the Power Rule

: \frac{u ^{4}}{4}

= \frac{u ^{4}}{4}

Substitute back

u = x - 1

= \frac{( x - 1 ) ^{4}}{4}

Add a constant to the solution

= \frac{( x - 1 ) ^{4}}{4} + C

Popular Examples

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

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

limit as x approaches 2 of sqrt(4-x^2)

x \to 2 lim (4 - x^{2})

limit as x approaches 2 of 5x^4

x \to 2 lim (5 x^{4})

limit as x approaches 2 of (x-2)/(x+2)

x \to 2 lim (\frac{x - 2}{x + 2})

integral of sin(3pix)

\int sin (3 π x) d x

Frequently Asked Questions (FAQ)

What is the integral of (x-1)^3 ?
The integral of (x-1)^3 is ((x-1)^4)/4+C