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Popular >

integral of 12x-5

Solution

\int 12 x - 5 d x

Solution

6 x^{2} - 5 x + C

Solution steps

\int 12 x - 5 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 12 x d x - \int 5 d x

\int 12 x d x = 6 x^{2}

\int 5 d x = 5 x

= 6 x^{2} - 5 x

Add a constant to the solution

= 6 x^{2} - 5 x + C

Graph

Popular Examples

integral of 19^x

\int 1 9^{x} d x

integral of x(x-8)^{1/5}

\int x (x - 8)^{\frac{1}{5}} d x

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

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

integral of sqrt((1+x)/x)

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

integral of (sqrt(x)ln(x))/x

\int \frac{x ln ( x )}{x} d x

Frequently Asked Questions (FAQ)

What is the integral of 12x-5 ?
The integral of 12x-5 is 6x^2-5x+C