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Popular Calculus >

integral of 8x+5

Solution

\int 8 x + 5 d x

Solution

4 x^{2} + 5 x + C

Solution steps

\int 8 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 8 x d x + \int 5 d x

\int 8 x d x = 4 x^{2}

\int 5 d x = 5 x

= 4 x^{2} + 5 x

Add a constant to the solution

= 4 x^{2} + 5 x + C

Graph

Popular Examples

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integral of 5/(sqrt(1+x^2))

y^{''}+6y^'+5y=0

Frequently Asked Questions (FAQ)

What is the integral of 8x+5 ?
The integral of 8x+5 is 4x^2+5x+C