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Popular >

integral of (5x-1)

Solution

\int (5 x - 1) d x

Solution

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

Solution steps

\int 5 x - 1 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 1 d x

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

\int 1 d x = x

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

Add a constant to the solution

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

Graph

Popular Examples

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

\int \frac{1}{v ^{2} + 3 v + 2} d v

integral of 1/(x^3+2x^2-5x-6)

\int \frac{1}{x ^{3} + 2 x ^{2} - 5 x - 6} d x

integral of cos((x^2)^2)x^2)^2

\int cos ((x^{2})^{2}) d (x^{2})^{2}

integral of 4x^3-1

\int 4 x^{3} - 1 d x

integral of x^2arccot(x)

\int x^{2} arccot (x) d x

Frequently Asked Questions (FAQ)

What is the integral of (5x-1) ?
The integral of (5x-1) is (5x^2)/2-x+C