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Popular >

integral of 6(1-x)

Solution

\int 6 (1 - x) d x

Solution

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

Solution steps

\int 6 (1 - x) d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 6 \cdot \int 1 - x 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

= 6 (\int 1 d x - \int x d x)

\int 1 d x = x

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

= 6 (x - \frac{x ^{2}}{2})

Add a constant to the solution

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

Popular Examples

integral of (2x+x^2)

\int (2 x + x^{2}) d x

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\int sec^{2} (x) + e^{2 x} d x

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\int cos (x) cos (2 x) sin (4 x) d x

integral of 1/(6x+8)

\int \frac{1}{6 x + 8} d x

Frequently Asked Questions (FAQ)

What is the integral of 6(1-x) ?
The integral of 6(1-x) is 6(x-(x^2)/2)+C