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Popular >

integral of x+5

Solution

\int x + 5 d x

Solution

\frac{x ^{2}}{2} + 5 x + C

Solution steps

\int 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 x d x + \int 5 d x

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

\int 5 d x = 5 x

= \frac{x ^{2}}{2} + 5 x

Add a constant to the solution

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

Popular Examples

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\int \frac{1}{1 + e ^{- y}} d y

derivative of f(x)=(x+x^{-1})^3 derivative of

f (x) = (x + x^{- 1})^{3}

integral of tan^3(5x)

\int tan^{3} (5 x) d x

Frequently Asked Questions (FAQ)

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