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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

derivative of y=(x-1)^3(x+2)^4 derivative of

y = (x - 1)^{3} (x + 2)^{4}

derivative of y=cot^2(pix)derivative of

y = cot^{2} (π x)

y^{^{'}} + 3 y = 0

integral of (1-cos^2(x))/(sin^2(x))

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

(dy)/(dx)=((x-3))/(y+5)

\frac{d y}{d x} = \frac{( x - 3 )}{y + 5}

Frequently Asked Questions (FAQ)

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