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Popular >

integral of x+1

Solution

integral

x + 1

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

Popular Examples

integral of (cot(3+ln(x)))/x

\int \frac{cot ( 3 + ln ( x ) )}{x} d x

integral of 2y+cos(y)

\int 2 y + cos (y) d y

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

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

integral of f(2x)

\int f (2 x) d x

integral of (6x^5+2)(2x^6+4x)^4

\int (6 x^{5} + 2) (2 x^{6} + 4 x)^{4} d x

Frequently Asked Questions (FAQ)

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