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Popular >

integral of 2-y^2

Solution

\int 2 - y^{2} d y

Solution

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

Solution steps

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

\int 2 d y = 2 y

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

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

Add a constant to the solution

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

Popular Examples

derivative of 1/8 (x^2-8ln(x))

\frac{d}{d x} (\frac{1}{8} (x^{2} - 8 ln (x)))

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

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

derivative of e^{x^2-y}

\frac{d}{d x} (e^{x^{2} - y})

integral of 2x(x^2+5)^{-4}

\int 2 x (x^{2} + 5)^{- 4} d x

area x^2+6,12+4x-x^2 area

x^{2} + 6, 12 + 4 x - x^{2}

Frequently Asked Questions (FAQ)

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