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Popular >

integral of 5x-3

Solution

\int 5 x - 3 d x

Solution

\frac{5 x ^{2}}{2} - 3 x + C

Solution steps

\int 5 x - 3 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 3 d x

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

\int 3 d x = 3 x

= \frac{5 x ^{2}}{2} - 3 x

Add a constant to the solution

= \frac{5 x ^{2}}{2} - 3 x + C

Popular Examples

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

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

integral of 1/(sqrt(x+1)+\sqrt{(x+1)^3)}

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

integral of (cos(3x))/(x^3)

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

integral of x^{-2}sqrt(x)

\int x^{- 2} x d x

integral of (4x-1)/(9x^2-6x+1)

\int \frac{4 x - 1}{9 x ^{2} - 6 x + 1} d x

Frequently Asked Questions (FAQ)

What is the integral of 5x-3 ?
The integral of 5x-3 is (5x^2)/2-3x+C