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Popular >

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

Popular Examples

integral from 0 to 1 of integral from 0 to x of (6/7 (x^2+x*y/2))

\int_{0}^{1} \int_{0}^{x} (\frac{6}{7} (x^{2} + x \cdot \frac{y}{2})) d y d x

derivative of y= t/((t-7)^2)derivative of

y = \frac{t}{( t - 7 ) ^{2}}

limit as x approaches infinity of ln(9x)-ln(x+7)

x \to \infty lim (ln (9 x) - ln (x + 7))

integral of 1/(ln(x)x)

\int \frac{1}{ln ( x ) x} d x

integral of (ln(x))/(2x)

\int \frac{ln ( x )}{2 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