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Popular >

integral of (x^2+y)

Solution

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

Solution

y x + \frac{x ^{3}}{3} + C

Solution steps

\int x^{2} + y d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int y d x + \int x^{2} d x

\int y d x = y x

\int x^{2} d x = \frac{x ^{3}}{3}

= y x + \frac{x ^{3}}{3}

Add a constant to the solution

= y x + \frac{x ^{3}}{3} + C

Graph

Popular Examples

d/(dy)(1/(sqrt(y^2+1)))

\frac{d}{d y} (\frac{1}{y ^{2} + 1})

y^{^{'}} + 2 x y = 2 x^{3}

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

\frac{d}{d x} (\frac{x ^{2} - 3}{x + 2})

integral from 0 to 4 of 4x

\int_{0}^{4} 4 x d x

integral of (sin(x))/((1+cos(x))^3)

\int \frac{sin ( x )}{( 1 + cos ( x ) ) ^{3}} d x

Frequently Asked Questions (FAQ)

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