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Popular >

integral of (3x-2)

Solution

\int (3 x - 2) d x

Solution

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

Solution steps

\int 3 x - 2 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 3 x d x - \int 2 d x

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

\int 2 d x = 2 x

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

Add a constant to the solution

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

Popular Examples

\frac{d}{d u} (u + v)

integral of 12log_{11}(x)

\int 12 lo g_{11} (x) d x

integral of ((3-x)(5+x))/(x^4)

\int \frac{( 3 - x ) ( 5 + x )}{x ^{4}} d x

derivative of f(x)=(e^{3x})/(x^6)derivative of

f (x) = \frac{e ^{3 x}}{x ^{6}}

derivative of x^3+ax^2+bx+c

\frac{d}{d x} (x^{3} + a x^{2} + b x + c)

Frequently Asked Questions (FAQ)

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