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Popular Calculus >

integral of x+C

Solution

\int x + C d x

Solution

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

Solution steps

\int x + C 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 C d x

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

\int C d x = C x

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

Add a constant to the solution

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

Graph

Popular Examples

integral of 5xcos(nx)

\int 5 x cos (n x) d x

integral of tan^3((2x)/a)

\int tan^{3} (\frac{2 x}{a}) d x

integral of (9x^2+4x+1)e^{3x^3+2x^2+x}

\int (9 x^{2} + 4 x + 1) e^{3 x^{3} + 2 x^{2} + x} d x

integral of 2/((x-9)^2)

\int \frac{2}{( x - 9 ) ^{2}} d x

integral of (x^4+3x^3-2x^2-5x)

\int (x^{4} + 3 x^{3} - 2 x^{2} - 5 x) d x

Frequently Asked Questions (FAQ)

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