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Popular >

integral of (x-a)^2

Solution

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

Solution

\frac{( x - a ) ^{3}}{3} + C

Solution steps

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

Apply u-substitution

: \int u^{2} d u

= \int u^{2} d u

Apply the Power Rule

: \frac{u ^{3}}{3}

= \frac{u ^{3}}{3}

Substitute back

u = x - a

= \frac{( x - a ) ^{3}}{3}

Add a constant to the solution

= \frac{( x - a ) ^{3}}{3} + C

Popular Examples

integral of (x^2+1)/((x^2-2x+2)^2)

\int \frac{x ^{2} + 1}{( x ^{2} - 2 x + 2 ) ^{2}} d x

derivative of (x-13)/(sqrt(x)-\sqrt{13)}derivative of

\frac{x - 13}{x - 13}

integral from-5 to 5 of 1/2 (25-x^2)

\int_{- 5}^{5} \frac{1}{2} (25 - x^{2}) d x

(6x+1)y^2(dy)/(dx)+4x^2+2y^3=0

(6 x + 1) y^{2} \frac{d y}{d x} + 4 x^{2} + 2 y^{3} = 0

tangent of y=(x^2)/(x+5),(1, 1/6)tangent of

y = \frac{x ^{2}}{x + 5}, (1, \frac{1}{6})

Frequently Asked Questions (FAQ)

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