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Popular Calculus >

integral of (1-5y)

Solution

\int (1 - 5 y) d y

Solution

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

Solution steps

\int 1 - 5 y d y

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 y - \int 5 y d y

\int 1 d y = y

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

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

Add a constant to the solution

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

Graph

Popular Examples

inverse oflaplace 1/(s^2-3s+2)

in v erse l a pl a ce \frac{1}{s ^{2} - 3 s + 2}

derivative of arctan(sqrt(5x^2-1))

d er i v a t i v e arctan (5 x^{2} - 1)

(d^2y)/(dx^2)+2(dy)/(dx)=1+9x^2

\frac{d ^{2} y}{d x ^{2}} + 2 \frac{d y}{d x} = 1 + 9 x^{2}

integral of 3sec^4(x)

\int 3 sec^{4} (x) d x

limit as x approaches (3pi)/4 of-2sec(x)

x \to \frac{3 π}{4} lim (- 2 sec (x))

Frequently Asked Questions (FAQ)

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