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Popular >

integral of-5x+3

Solution

integral

- 5 x + 3

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

Graph

Popular Examples

integral of ((e^{-x})^2)/y integral

\frac{( e ^{- x} ) ^{2}}{y}

integral of (x^2-5x)e^x integral

(x^{2} - 5 x) e^{x}

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

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

integral of 1/(cos^2(y))integral

\frac{1}{cos ^{2} ( y )}

integral of (x^2)/x integral

\frac{x ^{2}}{x}

Frequently Asked Questions (FAQ)

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