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Popular >

integral of 3+y^2

Solution

\int 3 + y^{2} d y

Solution

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

Solution steps

\int 3 + 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 3 d y + \int y^{2} d y

\int 3 d y = 3 y

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

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

Add a constant to the solution

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

Graph

Popular Examples

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

\int \frac{2}{( x ^{2} + 2 x + 2 ) ^{2}} d x

integral of (x+3)/((x^2+6x-5)^2)

\int \frac{x + 3}{( x ^{2} + 6 x - 5 ) ^{2}} d x

integral of 2x^2cos(2x)

\int 2 x^{2} cos (2 x) d x

integral of e^{xpi}

\int e^{x π} d x

integral of ln(3y)

\int ln (3 y) d y

Frequently Asked Questions (FAQ)

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