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Popular >

integral of 1-3x

Solution

\int 1 - 3 x d x

Solution

x - \frac{3 x ^{2}}{2} + C

Solution steps

\int 1 - 3 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 1 d x - \int 3 x d x

\int 1 d x = x

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

= x - \frac{3 x ^{2}}{2}

Add a constant to the solution

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

Popular Examples

integral of (-1)/(1-x^2)

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

integral of (x-2)/((x+1)^2)

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

integral of (x^3+6x)(6x^2+12)

\int (x^{3} + 6 x) (6 x^{2} + 12) d x

integral of-tan(x)sec(x)

\int - tan (x) sec (x) d x

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

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

Frequently Asked Questions (FAQ)

What is the integral of 1-3x ?
The integral of 1-3x is x-(3x^2)/2+C