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Popular >

integral of (10x+2)

Solution

\int (10 x + 2) d x

Solution

5 x^{2} + 2 x + C

Solution steps

\int 10 x + 2 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 2 d x

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

\int 2 d x = 2 x

= 5 x^{2} + 2 x

Add a constant to the solution

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

Popular Examples

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\int cos (\frac{2 x}{5}) d x

integral of sqrt(18-8x+x^2)

\int 18 - 8 x + x^{2} d x

integral of 1/(51-70x-25x^2)

\int \frac{1}{51 - 70 x - 25 x ^{2}} d x

integral of (x^3+2x)/(x^2+x-6)

\int \frac{x ^{3} + 2 x}{x ^{2} + x - 6} d x

integral of t^{3/2}(t^2-4t+17)

\int t^{\frac{3}{2}} (t^{2} - 4 t + 17) d t

Frequently Asked Questions (FAQ)

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