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Popular >

integral of 3x-8

Solution

\int 3 x - 8 d x

Solution

\frac{3 x ^{2}}{2} - 8 x + C

Solution steps

\int 3 x - 8 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 8 d x

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

\int 8 d x = 8 x

= \frac{3 x ^{2}}{2} - 8 x

Add a constant to the solution

= \frac{3 x ^{2}}{2} - 8 x + C

Popular Examples

(\partial ^2)/(\partial y^2)(x^2-y^2)

\frac{\partial ^{2}}{\partial y ^{2}} (x^{2} - y^{2})

limit as x approaches-infinity of-1/x

x \to - \infty lim (- \frac{1}{x})

integral of 2sin^3(x/2)

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

area x^2,[0,1]area

x^{2}, [0, 1]

y^{^{'}} = 6 x + y

Frequently Asked Questions (FAQ)

What is the integral of 3x-8 ?
The integral of 3x-8 is (3x^2)/2-8x+C