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Popular >

integral of-y+1

Solution

\int - y + 1 d y

Solution

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

Solution steps

\int - y + 1 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 y d y + \int 1 d y

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

\int 1 d y = y

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

Add a constant to the solution

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

Popular Examples

derivative of (4x^3+5x(x-3)(x+5))

\frac{d}{d x} ((4 x^{3} + 5 x) (x - 3) (x + 5))

derivative of 5arcsin(3x^3)

\frac{d}{d x} (5 arcsin (3) x^{3})

tangent of 1/(sqrt(11x))tangent of

\frac{1}{11 x}

derivative of y=(1+1/x)^2 derivative of

y = (1 + \frac{1}{x})^{2}

limit as x approaches 1 of [f(x)+5g(x)]

x \to 1 lim ([f (x) + 5 g (x)])

Frequently Asked Questions (FAQ)

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