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Popular Calculus >

integral of y^2+1

Solution

\int y^{2} + 1 d y

Solution

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

Solution steps

\int y^{2} + 1 d y

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 y + \int 1 d y

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

\int 1 d y = y

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

Add a constant to the solution

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

Graph

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(dy)/(dx)+5y=10

Frequently Asked Questions (FAQ)

What is the integral of y^2+1 ?
The integral of y^2+1 is (y^3)/3+y+C