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Popular >

integral of (10x+0.5)

Solution

\int (10 x + 0.5) d x

Solution

5 x^{2} + 0.5 x + C

Solution steps

\int 10 x + 0.5 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 10 x d x + \int 0.5 d x

\int 10 x d x = 5 x^{2}

\int 0.5 d x = 0.5 x

= 5 x^{2} + 0.5 x

Add a constant to the solution

= 5 x^{2} + 0.5 x + C

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Frequently Asked Questions (FAQ)

What is the integral of (10x+0.5) ?
The integral of (10x+0.5) is 5x^2+0.5x+C