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Popular >

integral of x^2-3

Solution

\int x^{2} - 3 d x

Solution

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

Solution steps

\int x^{2} - 3 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 d x

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

\int 3 d x = 3 x

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

Add a constant to the solution

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

Popular Examples

tangent of f(x)= x/(1+x^2),0,\at x=0 tangent of

f (x) = \frac{x}{1 + x ^{2}}, 0, at x = 0

derivative of (x^3/3+(x^2)/2-2x+7)

\frac{d}{d x} (\frac{x ^{3}}{3} + \frac{x ^{2}}{2} - 2 x + 7)

(sec(x))(dy)/(dx)+y=2

(sec (x)) \frac{d y}{d x} + y = 2

integral of e^{1x}

\int e^{1 x} d x

inverse oflaplace (e^{-s})/(s^1)inverse laplace

\frac{e ^{- s}}{s ^{1}}

Frequently Asked Questions (FAQ)

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