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Popular >

integral of y^2-4

Solution

\int y^{2} - 4 d y

Solution

\frac{y ^{3}}{3} - 4 y + C

Solution steps

\int y^{2} - 4 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 4 d y

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

\int 4 d y = 4 y

= \frac{y ^{3}}{3} - 4 y

Add a constant to the solution

= \frac{y ^{3}}{3} - 4 y + C

Popular Examples

integral of cos(x)sin^4(x)

\int cos (x) sin^{4} (x) d x

tangent of f(x)= 7/2 x^2-5x+1 tangent of

f (x) = \frac{7}{2} x^{2} - 5 x + 1

limit as θ approaches 0 of θcot(5θ)

θ \to 0 lim (θ cot (5 θ))

derivative of (x^2-9/(x^2+9))

\frac{d}{d x} (\frac{x ^{2} - 9}{x ^{2} + 9})

x^{''}+x^'+2x=0

x^{^{''}} + x^{^{'}} + 2 x = 0

Frequently Asked Questions (FAQ)

What is the integral of y^2-4 ?
The integral of y^2-4 is (y^3)/3-4y+C