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Popular >

integral of 3x-6

Solution

\int 3 x - 6 d x

Solution

\frac{3 x ^{2}}{2} - 6 x + C

Solution steps

\int 3 x - 6 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 6 d x

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

\int 6 d x = 6 x

= \frac{3 x ^{2}}{2} - 6 x

Add a constant to the solution

= \frac{3 x ^{2}}{2} - 6 x + C

Popular Examples

integral of (9+7x)/(1+x^2)

\int \frac{9 + 7 x}{1 + x ^{2}} d x

integral of (3x^2+4)/(0.3x^3+1.2x)

\int \frac{3 x ^{2} + 4}{0.3 x ^{3} + 1.2 x} d x

derivative of f(x)=x^6tan(x)derivative of

f (x) = x^{6} tan (x)

integral of 1/(sqrt(3+2x-x^2))

\int \frac{1}{3 + 2 x - x ^{2}} d x

t^2y^{''}+10ty^'+8y=0

t^{2} y^{^{''}} + 10 t y^{^{'}} + 8 y = 0

Frequently Asked Questions (FAQ)

What is the integral of 3x-6 ?
The integral of 3x-6 is (3x^2)/2-6x+C