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Popular >

integral of (10x+5)

Solution

\int (10 x + 5) d x

Solution

5 x^{2} + 5 x + C

Solution steps

\int 10 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 10 x d x + \int 5 d x

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

\int 5 d x = 5 x

= 5 x^{2} + 5 x

Add a constant to the solution

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

Graph

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integral of x/(x^2+2x+17)

\int \frac{x}{x ^{2} + 2 x + 17} d x

Frequently Asked Questions (FAQ)

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