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Popular >

integral of (2x-6)

Solution

\int (2 x - 6) d x

Solution

x^{2} - 6 x + C

Solution steps

\int 2 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 2 x d x - \int 6 d x

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

\int 6 d x = 6 x

= x^{2} - 6 x

Add a constant to the solution

= x^{2} - 6 x + C

Graph

Popular Examples

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

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\int \frac{4 x - 16}{x + 2} d x

integral of sec^2(3x)tan^4(3x)

\int sec^{2} (3 x) tan^{4} (3 x) d x

integral of 1/((x+3)^{3/2)}

\int \frac{1}{( x + 3 ) ^{\frac{3}{2}}} d x

integral of sin(7x+3pi)

\int sin (7 x + 3 π) d x

Frequently Asked Questions (FAQ)

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