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Popular Calculus >

integral of y^2+2

Solution

\int y^{2} + 2 d y

Solution

\frac{y ^{3}}{3} + 2 y + C

Solution steps

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

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

\int 2 d y = 2 y

= \frac{y ^{3}}{3} + 2 y

Add a constant to the solution

= \frac{y ^{3}}{3} + 2 y + C

Graph

Popular Examples

integral of (5x+7)

\int (5 x + 7) d x

integral of 1/((x^2-2)^{3/2)}

\int \frac{1}{( x ^{2} - 2 ) ^{\frac{3}{2}}} d x

integral of 3/(6x-9)

\int \frac{3}{6 x - 9} d x

integral of (e^xsin(x))/2

\int \frac{e ^{x} sin ( x )}{2} d x

integral of (e^{3x})/(sqrt(1-e^{2x))}

\int \frac{e ^{3 x}}{1 - e ^{2 x}} d x

Frequently Asked Questions (FAQ)

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