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Popular >

integral of 5x-1

Solution

\int 5 x - 1 d x

Solution

\frac{5 x ^{2}}{2} - x + C

Solution steps

\int 5 x - 1 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 5 x d x - \int 1 d x

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

\int 1 d x = x

= \frac{5 x ^{2}}{2} - x

Add a constant to the solution

= \frac{5 x ^{2}}{2} - x + C

Popular Examples

(dP)/(dt)+2tP=P+8t-4

\frac{d P}{d t} + 2 tP = P + 8 t - 4

integral of-3/(x^2)

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

(\partial)/(\partial y)(ln(x^{10}y))

\frac{\partial}{\partial y} (ln (x^{10} y))

area 66x, 2/3 x,40-x^2 area

66 x, \frac{2}{3} x, 40 - x^{2}

tangent of f(x)= 1/(x^3),\at x=-2 tangent of

f (x) = \frac{1}{x ^{3}}, at x = - 2

Frequently Asked Questions (FAQ)

What is the integral of 5x-1 ?
The integral of 5x-1 is (5x^2)/2-x+C