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Popular >

integral of x-3

Solution

\int x - 3 d x

Solution

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

Solution steps

\int x - 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 d x - \int 3 d x

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

\int 3 d x = 3 x

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

Add a constant to the solution

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

Popular Examples

integral of ((sin(x)))/x

\int \frac{( sin ( x ) )}{x} d x

integral of-0.2x^2+12x

\int - 0.2 x^{2} + 12 x d x

integral of sqrt(4x^4+x^2)

\int 4 x^{4} + x^{2} d x

derivative of f(x)= 4/((3x)^{-2)}derivative of

f (x) = \frac{4}{( 3 x ) ^{- 2}}

integral of 5/(x^{-1)+5}

\int \frac{5}{x ^{- 1} + 5} d x

Frequently Asked Questions (FAQ)

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