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Popular >

integral of (x+1)

Solution

\int (x + 1) d x

Solution

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

Solution steps

\int x + 1 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 1 d x

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

\int 1 d x = x

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

Add a constant to the solution

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

Graph

Popular Examples

limit as x approaches-2 of (x+1)/(x^3+8)

x \to - 2 lim (\frac{x + 1}{x ^{3} + 8})

derivative of (-2cos(2x-sin(3x))^2)

\frac{d}{d x} ((- 2 cos (2 x) - sin (3 x))^{2})

limit as x approaches 4 of (2x^3-128)/(sqrt(x)-2)

x \to 4 lim (\frac{2 x ^{3} - 128}{x - 2})

derivative of 1/(7x^2)

\frac{d}{d x} (\frac{1}{7 x ^{2}})

tangent of x+7/x tangent of

x + \frac{7}{x}

Frequently Asked Questions (FAQ)

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