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Popular Calculus >

integral of 5+x

Solution

\int 5 + x d x

Solution

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

Solution steps

\int 5 + 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 5 d x + \int x d x

\int 5 d x = 5 x

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

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

Add a constant to the solution

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

Graph

Popular Examples

integral of sqrt(x-5)

\int x - 5 d x

limit as x approaches 1 of (1-5/x)^x

x \to 1 lim ((1 - \frac{5}{x})^{x})

derivative of (8x+5)(x^2-3x)

d er i v a t i v e (8 x + 5) (x^{2} - 3 x)

laplacetransform {(cos(3t)-9)^2}

l a pl a ce t r an s f or m {(cos (3 t) - 9)^{2}}

y^{^{'}} + \frac{1}{20} y = 0

Frequently Asked Questions (FAQ)

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