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Popular >

integral of 1+cos(y)

Solution

\int 1 + cos (y) d y

Solution

y + sin (y) + C

Solution steps

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

\int 1 d y = y

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

= y + sin (y)

Add a constant to the solution

= y + sin (y) + C

Popular Examples

integral of (3x^2+4x-6)/(x^2+16x+64)

\int \frac{3 x ^{2} + 4 x - 6}{x ^{2} + 16 x + 64} d x

derivative of sqrt(x)^x

\frac{d}{d x} (x^{x})

integral of (x+2)/(x-4)

\int \frac{x + 2}{x - 4} d x

derivative of cos(e^{2x})

\frac{d}{d x} (cos (e^{2 x}))

tangent of 9x-8sqrt(x)tangent of

9 x - 8 x

Frequently Asked Questions (FAQ)

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