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Popular Calculus >

integral of 1+x

Solution

integral

1 + x

Solution

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

Solution steps

\int 1 + 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 1 d x + \int x d x

\int 1 d x = x

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

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

Add a constant to the solution

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

Graph

Popular Examples

integral of 1-cos^2(x)

in t e g r a l 1 - cos^{2} (x)

integral of x/((x^2+1))

in t e g r a l \frac{x}{( x ^{2} + 1 )}

integral of 1/((1-x^2))

in t e g r a l \frac{1}{( 1 - x ^{2} )}

integral of (x^3)/((x+1)^2)

in t e g r a l \frac{x ^{3}}{( x + 1 ) ^{2}}

integral of (x-1)(x+3)^3

in t e g r a l (x - 1) (x + 3)^{3}

Frequently Asked Questions (FAQ)

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