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Popular >

integral of 6+2x

Solution

\int 6 + 2 x d x

Solution

6 x + x^{2} + C

Solution steps

\int 6 + 2 x 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 6 d x + \int 2 x d x

\int 6 d x = 6 x

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

= 6 x + x^{2}

Add a constant to the solution

= 6 x + x^{2} + C

Popular Examples

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\int (- 3 x^{- 2}) d x

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\int \frac{e ^{x}}{e ^{x} - 3} d x

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\int \frac{x}{x ^{2} + 10} d x

integral of (3x)/(x^2+4x+5)

\int \frac{3 x}{x ^{2} + 4 x + 5} d x

integral of 5e^xsin(2x)

\int 5 e^{x} sin (2 x) d x

Frequently Asked Questions (FAQ)

What is the integral of 6+2x ?
The integral of 6+2x is 6x+x^2+C