What is the integral of (2sin(x)+3sinh(x)) ?

The integral of (2sin(x)+3sinh(x)) is -2cos(x)+3cosh(x)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (2sin(x)+3sinh(x))

\int (2 sin (x) + 3 sinh (x)) d x

- 2 cos (x) + 3 cosh (x) + C

Solution steps

\int 2 sin (x) + 3 sinh (x) d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 2 sin (x) d x + \int 3 sinh (x) d x

\int 2 sin (x) d x = - 2 cos (x)

\int 3 sinh (x) d x = 3 cosh (x)

= - 2 cos (x) + 3 cosh (x)

Add a constant to the solution

= - 2 cos (x) + 3 cosh (x) + C

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

\int e^{- 3 t} cos (t) d t

\int \frac{1 + 2 x ^{2}}{x ^{2} ( x ^{2} + 1 )} d x

\int \frac{1}{tan ( θ ) sec ( θ )} d θ

\int 5 x^{3} e^{(5 x - 3)} d x

What is the integral of (2sin(x)+3sinh(x)) ?
The integral of (2sin(x)+3sinh(x)) is -2cos(x)+3cosh(x)+C