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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

Graph

Popular Examples

integral of (4x^2+2sqrt(x)+1/(x^3))

\int (4 x^{2} + 2 x + \frac{1}{x ^{3}}) d x

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

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

integral of (x^2+2x+5)e^{-3x}

\int (x^{2} + 2 x + 5) e^{- 3 x} d x

integral of (8x)/(4x^2+1)

\int \frac{8 x}{4 x ^{2} + 1} d x

integral of 1/(sqrt(6t+1))

\int \frac{1}{6 t + 1} d t

Frequently Asked Questions (FAQ)

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