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Popular >

integral of (x-a)^3

Solution

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

Solution

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

Solution steps

\int (x - a)^{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 - a

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

Add a constant to the solution

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

Popular Examples

integral of (-5)/(sqrt(3w-5))

\int \frac{- 5}{3 w - 5} d w

integral of x^2 1/2

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

integral of (pi-x)sin(x)

\int (π - x) sin (x) d x

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

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

integral of 8sin(4x)

\int 8 sin (4 x) d x

Frequently Asked Questions (FAQ)

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