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Popular >

integral of (1-5x)

Solution

\int (1 - 5 x) d x

Solution

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

Solution steps

\int 1 - 5 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 5 x d x

\int 1 d x = x

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

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

Add a constant to the solution

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

Graph

Popular Examples

area x^2+1,x+3,0,x=0 area

x^{2} + 1, x + 3, 0, x = 0

limit as x approaches 7 of 6/(x-7)

x \to 7 lim (\frac{6}{x - 7})

y^{'''}+5y^{''}+4y^'-10y=0

y^{^{'''}} + 5 y^{^{''}} + 4 y^{^{'}} - 10 y = 0

integral of 1/(tsqrt(9+4t^2))

\int \frac{1}{t 9 + 4 t ^{2}} d t

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

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

Frequently Asked Questions (FAQ)

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