What is the integral of cos(x)y ?

The integral of cos(x)y is ysin(x)+C

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integral of cos(x)y

\int cos (x) y

y sin (x) + C

Solution steps

\int cos (x) y d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= y \cdot \int cos (x) d x

Use the common integral:

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

= y sin (x)

Add a constant to the solution

= y sin (x) + C

- 3 x^{3} - 2 x^{2} - 1

x \to 2 lim (x^{4} + 12 x + 8)

\frac{d}{d x} (\frac{5}{3} x^{\frac{2}{3}})

x \to + 0 lim (- ∣ x - 2 ∣ + 3)