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Popular >

integral of 10x-3

Solution

\int 10 x - 3 d x

Solution

5 x^{2} - 3 x + C

Solution steps

\int 10 x - 3 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 10 x d x - \int 3 d x

\int 10 x d x = 5 x^{2}

\int 3 d x = 3 x

= 5 x^{2} - 3 x

Add a constant to the solution

= 5 x^{2} - 3 x + C

Popular Examples

area y= 1/x ,y=x,y= x/4 area

y = \frac{1}{x}, y = x, y = \frac{x}{4}

(dy)/(dx)=1-cos(2x-y+3)

\frac{d y}{d x} = 1 - cos (2 x - y + 3)

derivative of f(x)= 8/(x^3)derivative of

f (x) = \frac{8}{x ^{3}}

inverse oflaplace 5/(s^2(s+2))inverse laplace

\frac{5}{s ^{2} ( s + 2 )}

integral from 0 to 1 of xcos((npix)/2)

\int_{0}^{1} x cos (\frac{nπ x}{2}) d x

Frequently Asked Questions (FAQ)

What is the integral of 10x-3 ?
The integral of 10x-3 is 5x^2-3x+C