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Popular >

integral of 2x+y^2

Solution

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

Solution

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

Solution steps

\int 2 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 2 x d x

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

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

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

Add a constant to the solution

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

Popular Examples

limit as x approaches 8 of x^4*e^{-x^2}

x \to 8 lim (x^{4} \cdot e^{- x^{2}})

area y=10-(x+2)^2,(-5.2,1.2)area

y = 10 - (x + 2)^{2}, (- 5.2, 1.2)

integral of x+e^{5x}

\int x + e^{5 x} d x

integral from 0 to pi of f(x)sin(x)

\int_{0}^{π} f (x) sin (x) d x

integral of 3/(sqrt(5-4u-u^2))

\int \frac{3}{5 - 4 u - u ^{2}} d u

Frequently Asked Questions (FAQ)

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