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Popular >

integral of (1-y^2)

Solution

\int (1 - y^{2}) d y

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

y^{''}+7y^'+10y=-18te^{2t}

y^{^{''}} + 7 y^{^{'}} + 10 y = - 18 t e^{2 t}

limit as x approaches 0 of 0/(sqrt(x^2))

x \to 0 lim (\frac{0}{x ^{2}})

derivative of (0.9e^x)/(tan(x))derivative of

\frac{0.9 e ^{x}}{tan ( x )}

integral from 6 to 8 of 6/((x-6)^3)

\int_{6}^{8} \frac{6}{( x - 6 ) ^{3}} d x

derivative of (x^3+1/(x^2+3))

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

Frequently Asked Questions (FAQ)

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