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Popular >

integral of (x-2)^3

Solution

\int (x - 2)^{3} d x

Solution

\frac{( x - 2 ) ^{4}}{4} + C

Solution steps

\int (x - 2)^{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 - 2

= \frac{( x - 2 ) ^{4}}{4}

Add a constant to the solution

= \frac{( x - 2 ) ^{4}}{4} + C

Popular Examples

integral from 0 to 1 of 1/((x-1)^{1/3)}

\int_{0}^{1} \frac{1}{( x - 1 ) ^{\frac{1}{3}}} d x

integral of 4tan^2(x)

\int 4 tan^{2} (x) d x

integral of sin^3(x)cos(x)

\int sin^{3} (x) cos (x) d x

integral of y/(-y-1)

\int \frac{y}{- y - 1} d y

(2+6xy)dx+(3x^2-2y)dy=0

(2 + 6 x y) d x + (3 x^{2} - 2 y) d y = 0

Frequently Asked Questions (FAQ)

What is the integral of (x-2)^3 ?
The integral of (x-2)^3 is ((x-2)^4)/4+C