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Popular >

integral of (x^2-4)

Solution

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

Solution

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

Solution steps

\int x^{2} - 4 d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int x^{2} d x - \int 4 d x

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

\int 4 d x = 4 x

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

Add a constant to the solution

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

Popular Examples

derivative of (x^2-3^2)

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

area y= 1/(20x^2),x=y,y= x/(16)area

y = \frac{1}{20 x ^{2}}, x = y, y = \frac{x}{16}

integral of x*y

\int x \cdot y

derivative of (x^2+1sqrt(x))

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

derivative of (3x^4-18x^5*cos(5x^2))

\frac{d}{d x} ((3 x^{4} - 18 x)^{5} \cdot cos (5 x^{2}))

Frequently Asked Questions (FAQ)

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