What is the integral of 6sin(x)-5cos(x) ?

The integral of 6sin(x)-5cos(x) is -6cos(x)-5sin(x)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 6sin(x)-5cos(x)

\int 6 sin (x) - 5 cos (x) d x

- 6 cos (x) - 5 sin (x) + C

Solution steps

\int 6 sin (x) - 5 cos (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 6 sin (x) d x - \int 5 cos (x) d x

\int 6 sin (x) d x = - 6 cos (x)

\int 5 cos (x) d x = 5 sin (x)

= - 6 cos (x) - 5 sin (x)

Add a constant to the solution

= - 6 cos (x) - 5 sin (x) + C

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

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

\int \frac{e ^{x}}{36 + e ^{2 x}} d x

\int \frac{1 + sin ( x )}{x - cos ( x )} d x

\int lo g_{e} (x + 1 + x^{2}) d x

What is the integral of 6sin(x)-5cos(x) ?
The integral of 6sin(x)-5cos(x) is -6cos(x)-5sin(x)+C