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Popular >

integral of-x+6

Solution

\int - x + 6 d x

Solution

- \frac{x ^{2}}{2} + 6 x + C

Solution steps

\int - x + 6 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 6 d x

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

\int 6 d x = 6 x

= - \frac{x ^{2}}{2} + 6 x

Add a constant to the solution

= - \frac{x ^{2}}{2} + 6 x + C

Popular Examples

integral of ((e^{3x})/3+3x*2^{x^2}-x^4)

\int (\frac{e ^{3 x}}{3} + 3 x \cdot 2^{x^{2}} - x^{4}) d x

derivative of cos(sqrt(6x+11))

\frac{d}{d x} (cos (6 x + 11))

derivative of tan(x+1)

\frac{d}{d x} (tan (x) + 1)

derivative of y= 2/(e^x)derivative of

y = \frac{2}{e ^{x}}

limit as x approaches 7 of 7^x+12(x)

x \to 7 lim (7^{x} + 12 (x))

Frequently Asked Questions (FAQ)

What is the integral of-x+6 ?
The integral of-x+6 is -(x^2)/2+6x+C