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Popular >

integral of y^2-1

Solution

\int y^{2} - 1 d y

Solution

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

Solution steps

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

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

\int 1 d y = y

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

Add a constant to the solution

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

Popular Examples

integral from 0 to y of 2(x+y)

\int_{0}^{y} 2 (x + y) d x

integral of (2x^3+8x-4)/(x^4+4x^2)

\int \frac{2 x ^{3} + 8 x - 4}{x ^{4} + 4 x ^{2}} d x

tangent of f(x)=-0.025x^2 tangent of

f (x) = - 0.025 x^{2}

integral from 21 to infinity of xe^{-x}

\int_{21}^{\infty} x e^{- x} d x

derivative of 14ln(x)

\frac{d}{d x} (14 ln (x))

Frequently Asked Questions (FAQ)

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