What is the integral of (ycos(x)) ?

The integral of (ycos(x)) is ysin(x)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral of (ycos(x))

\int (y cos (x)) d x

y sin (x) + C

Solution steps

\int y cos (x) 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

\int \frac{2 sin ( x )}{cos ( x )} d x

\int (1 + cos^{2} (5) x^{2} csc^{2} (5) x^{2}) 6 x d x

\int x cot^{2} (2 x^{2}) d x

\int x 3 x^{2} + 2 d x

\int (cos (2 x) - sin (2 x))^{2} d x