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Popular >

integral of 5x-4

Solution

\int 5 x - 4 d x

Solution

\frac{5 x ^{2}}{2} - 4 x + C

Solution steps

\int 5 x - 4 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 5 x d x - \int 4 d x

\int 5 x d x = \frac{5 x ^{2}}{2}

\int 4 d x = 4 x

= \frac{5 x ^{2}}{2} - 4 x

Add a constant to the solution

= \frac{5 x ^{2}}{2} - 4 x + C

Popular Examples

integral of xln(x+4)

\int x ln (x + 4) d x

integral of ln(y)+2xy^3

\int ln (y) + 2 x y^{3} d x

-xy+(3+x)((dy)/(dx))=0

- x y + (3 + x) (\frac{d y}{d x}) = 0

integral from 0 to 1/2 of 2arccos(x)

\int_{0}^{\frac{1}{2}} 2 arccos (x) d x

integral of (20)/(x^{-1)+5}

\int \frac{20}{x ^{- 1} + 5} d x

Frequently Asked Questions (FAQ)

What is the integral of 5x-4 ?
The integral of 5x-4 is (5x^2)/2-4x+C