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Popular >

integral of (2-6x)

Solution

\int (2 - 6 x) d x

Solution

2 x - 3 x^{2} + C

Solution steps

\int 2 - 6 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

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

\int 2 d x = 2 x

\int 6 x d x = 3 x^{2}

= 2 x - 3 x^{2}

Add a constant to the solution

= 2 x - 3 x^{2} + C

Popular Examples

integral of x^2sqrt(1-3x^2)

\int x^{2} 1 - 3 x^{2} d x

integral of (1+sin^2(x))sin(2x)

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

integral of (e^{7x}+1)^3e^{7x}

\int (e^{7 x} + 1)^{3} e^{7 x} d x

integral of (2x^2+6)/(x^2+2x-8)

\int \frac{2 x ^{2} + 6}{x ^{2} + 2 x - 8} d x

integral of csch(6x)

\int csch (6 x) d x

Frequently Asked Questions (FAQ)

What is the integral of (2-6x) ?
The integral of (2-6x) is 2x-3x^2+C