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Popular >

integral of 4x-5

Solution

\int 4 x - 5 d x

Solution

2 x^{2} - 5 x + C

Solution steps

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

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

\int 5 d x = 5 x

= 2 x^{2} - 5 x

Add a constant to the solution

= 2 x^{2} - 5 x + C

Graph

Popular Examples

derivative of-3/((3x+1)^2)derivative of

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

(dy)/(dx)=(x^2+y^2)/(2y)

\frac{d y}{d x} = \frac{x ^{2} + y ^{2}}{2 y}

limit as x approaches 3 of 1/x-1/3

x \to 3 lim (\frac{1}{x} - \frac{1}{3})

(yx^2-y)dy=tan^{-1}(x)dx

(y x^{2} - y) d y = tan^{- 1} (x) d x

integral of 1/(sec^3(x))

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

Frequently Asked Questions (FAQ)

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