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Popular >

integral of 1/2 x+2

Solution

\int \frac{1}{2} x + 2 d x

Solution

\frac{x ^{2}}{4} + 2 x + C

Solution steps

\int \frac{1}{2} 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 \frac{1}{2} x d x + \int 2 d x

\int \frac{1}{2} x d x = \frac{x ^{2}}{4}

\int 2 d x = 2 x

= \frac{x ^{2}}{4} + 2 x

Add a constant to the solution

= \frac{x ^{2}}{4} + 2 x + C

Popular Examples

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\int \frac{6}{( x - 9 ) ( x - 3 )} d x

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\int (x + 1)^{- \frac{1}{2}} - π \cdot cos (π x) d x

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

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\int 21 e^{9 l n (x)} d x

integral of (-x)/(sqrt(9x^2+2))

\int \frac{- x}{9 x ^{2} + 2} d x

Frequently Asked Questions (FAQ)

What is the integral of 1/2 x+2 ?
The integral of 1/2 x+2 is (x^2)/4+2x+C