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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

Popular Examples

(x^2+1)(dy)/(dx)+8x(y-1)=0

(x^{2} + 1) \frac{d y}{d x} + 8 x (y - 1) = 0

integral of (40x^2)/(x^4-52x^2+576)

\int \frac{40 x ^{2}}{x ^{4} - 52 x ^{2} + 576} d x

slope of (2,3),(-2,-3)slope

(2, 3), (- 2, - 3)

derivative of 4/(2x+1)

\frac{d}{d x} (\frac{4}{2 x + 1})

tangent of f(x)=2x^2+x-1,\at x=0 tangent of

f (x) = 2 x^{2} + x - 1, at x = 0

Frequently Asked Questions (FAQ)

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