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Popular >

integral of x+y^2

Solution

\int x + y^{2} d x

Solution

y^{2} x + \frac{x ^{2}}{2} + C

Solution steps

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

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

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

= y^{2} x + \frac{x ^{2}}{2}

Add a constant to the solution

= y^{2} x + \frac{x ^{2}}{2} + C

Popular Examples

integral of sin^4(9x)

\int sin^{4} (9 x) d x

derivative of (e^x)/(7x^2)derivative of

\frac{e ^{x}}{7 x ^{2}}

(\partial)/(\partial x)((x+y)(2x+y)^2)

\frac{\partial}{\partial x} ((x + y) (2 x + y)^{2})

y d x + 3 x d y = 0

integral of 1/(xsqrt(x^2-49))

\int \frac{1}{x x ^{2} - 49} d x

Frequently Asked Questions (FAQ)

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