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Popular >

integral of-3/2 x+3

Solution

\int - \frac{3}{2} x + 3 d x

Solution

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

Solution steps

\int - \frac{3}{2} 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 \frac{3}{2} x d x + \int 3 d x

\int \frac{3}{2} x d x = \frac{3 x ^{2}}{4}

\int 3 d x = 3 x

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

Add a constant to the solution

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

Popular Examples

integral of 1/(12x^4)

\int \frac{1}{12 x ^{4}} d x

integral of sin(x^3)3x^2

\int sin (x^{3}) 3 x^{2} d x

integral of (e^{sqrt(x)}-5)/(sqrt(x))

\int \frac{e ^{x} - 5}{x} d x

integral of (sin(5x))/x

\int \frac{sin ( 5 x )}{x} d x

integral of 1/(t(1+t^2))

\int \frac{1}{t ( 1 + t ^{2} )} d t

Frequently Asked Questions (FAQ)

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