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Popular Calculus >

integral of 2x-5

Solution

\int 2 x - 5 d x

Solution

x^{2} - 5 x + C

Solution steps

\int 2 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 2 x d x - \int 5 d x

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

\int 5 d x = 5 x

= x^{2} - 5 x

Add a constant to the solution

= x^{2} - 5 x + C

Graph

Popular Examples

derivative of xln(x^2+4+4arctan(x/2)-2x)

\frac{d}{d x} (x ln (x^{2} + 4) + 4 arctan (\frac{x}{2}) - 2 x)

derivative of cos(sqrt(3x))

\frac{d}{d x} (cos (3 x))

integral of x+2y

\int x + 2 y d y

integral of sin(x)cos(x)e^{sin(x)}

\int sin (x) cos (x) e^{s i n (x)} d x

sum from n=0 to infinity of (5n)/(n^2+4)

n = 0 \sum \infty \frac{5 n}{n ^{2} + 4}

Frequently Asked Questions (FAQ)

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