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Popular Calculus >

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

Graph

Popular Examples

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

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

integral of x+e^{5x}

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

9y^{''}+6y^'+4y=0

9 y^{^{''}} + 6 y^{^{'}} + 4 y = 0

integral of 2e^t

\int 2 e^{t} d t

(dy)/(dx)= x/y ,y(0)=-5

\frac{d y}{d x} = \frac{x}{y}, y (0) = - 5

Frequently Asked Questions (FAQ)

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