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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

d/(d{y)}(({y})/(({x)^2+{y}^2+{z}^2)^{3/2}})

\frac{d}{d y} (\frac{y}{( x ^{2} + y ^{2} + z ^{2} ) ^{\frac{3}{2}}})

integral of (8x^2+4x+9)/(x^3-1)

\int \frac{8 x ^{2} + 4 x + 9}{x ^{3} - 1} d x

tangent of y=x^2,(0,-9)tangent of

y = x^{2}, (0, - 9)

integral of tan(x)sec(2x)

\int tan (x) sec (2 x) d x

integral of x(x-10)^7

\int x (x - 10)^{7} d x

Frequently Asked Questions (FAQ)

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