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Popular >

integral of (x-y)^2

Solution

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

Solution

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

Solution steps

\int (x - y)^{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 = - y + x

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

Add a constant to the solution

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

Popular Examples

integral of e^{ln(3x)}

\int e^{l n (3 x)} d x

integral of 2xe^{x^2+3y}

\int 2 x e^{x^{2} + 3 y} d x

integral of (sin(x))^2(cos(x))^3

\int (sin (x))^{2} (cos (x))^{3} d x

integral of tsqrt(t-3)

\int t t - 3 d t

integral of (2x-3)/(x^2-3x+4)

\int \frac{2 x - 3}{x ^{2} - 3 x + 4} d x

Frequently Asked Questions (FAQ)

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