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Popular >

integral of 1+y^2

Solution

integral

1 + y^{2}

Solution

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

Solution steps

\int 1 + y^{2} 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 1 d y + \int y^{2} d y

\int 1 d y = y

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

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

Add a constant to the solution

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

Popular Examples

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integral of (x^2)/((x+a))integral

\frac{x ^{2}}{( x + a )}

Frequently Asked Questions (FAQ)

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