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Popular >

integral of (x+y)^3

Solution

\int (x + y)^{3} d y

Solution

\frac{( x + y ) ^{4}}{4} + C

Solution steps

\int (x + y)^{3} d y

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 + y

= \frac{( x + y ) ^{4}}{4}

Add a constant to the solution

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

Popular Examples

integral of (in(x+1))/(sqrt(x+1))

\int \frac{in ( x + 1 )}{x + 1} d x

integral of 1/(sqrt((x^2+1)^5))

\int \frac{1}{( x ^{2} + 1 ) ^{5}} d x

integral of (11)/(1+x^2)

\int \frac{11}{1 + x ^{2}} d x

integral of 2xcos(10x)

\int 2 x cos (10 x) d x

integral of 1/((x^2+a^2)^{1.5)}

\int \frac{1}{( x ^{2} + a ^{2} ) ^{1.5}} d x

Frequently Asked Questions (FAQ)

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