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Popular >

integral of x^2-3x-4

Solution

\int x^{2} - 3 x - 4 d x

Solution

\frac{x ^{3}}{3} - \frac{3 x ^{2}}{2} - 4 x + C

Solution steps

\int x^{2} - 3 x - 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 3 x d x - \int 4 d x

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

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

\int 4 d x = 4 x

= \frac{x ^{3}}{3} - \frac{3 x ^{2}}{2} - 4 x

Add a constant to the solution

= \frac{x ^{3}}{3} - \frac{3 x ^{2}}{2} - 4 x + C

Popular Examples

limit as x approaches-2+of x/(x^2-3x-10)

x \to - 2 + lim (\frac{x}{x ^{2} - 3 x - 10})

derivative of y= x/(10)-(10)/x derivative of

y = \frac{x}{10} - \frac{10}{x}

integral of ((cos^2(at)))/a

\int \frac{( cos ^{2} ( a t ) )}{a} d x

implicit (dy)/(dx),(7xy+5)^2=42y implicit derivative

\frac{d y}{d x}, (7 x y + 5)^{2} = 42 y

derivative of (7x^6+4x^3^4)

\frac{d}{d x} ((7 x^{6} + 4 x^{3})^{4})

Frequently Asked Questions (FAQ)

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