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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

integral from 1/2 to 1 of (x^{-3}-5)

\int_{\frac{1}{2}}^{1} (x^{- 3} - 5) d x

y^{^{''}} = b y

integral from 1 to 2 of (x^2+5)/(3x-x^2)

\int_{1}^{2} \frac{x ^{2} + 5}{3 x - x ^{2}} d x

derivative of (x^2/(4+sqrt(x)))

\frac{d}{d x} (\frac{x ^{2}}{4 + x})

integral from 0 to 3/4 of 60x

\int_{0}^{\frac{3}{4}} 60 x d x

Frequently Asked Questions (FAQ)

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