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Popular >

integral of 1+sin(y)

Solution

\int 1 + sin (y) d y

Solution

y - cos (y) + C

Solution steps

\int 1 + sin (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 sin (y) d y

\int 1 d y = y

\int sin (y) d y = - cos (y)

= y - cos (y)

Add a constant to the solution

= y - cos (y) + C

Popular Examples

integral of 1/(xsqrt(x-a^2))

\int \frac{1}{x x - a ^{2}} d x

integral of-8sin(7x)

\int - 8 sin (7 x) d x

integral of (ln(x))/(x^3)integral

\frac{ln ( x )}{x ^{3}}

integral of 4/(e^{-s)}

\int \frac{4}{e ^{- s}} d s

integral of (cos(θ/2)-sin((3θ)/2))

\int (cos (\frac{θ}{2}) - sin (\frac{3 θ}{2})) d θ

Frequently Asked Questions (FAQ)

What is the integral of 1+sin(y) ?
The integral of 1+sin(y) is y-cos(y)+C