What is the integral of cos(x)sin(x)e^{sin(x)} ?

The integral of cos(x)sin(x)e^{sin(x)} is sin(x)e^{sin(x)}-e^{sin(x)}+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of cos(x)sin(x)e^{sin(x)}

\int cos (x) sin (x) e^{s i n (x)} d x

sin (x) e^{s i n (x)} - e^{s i n (x)} + C

Solution steps

\int cos (x) sin (x) e^{s i n (x)} d x

Apply Integration By Parts

: sin (x) e^{s i n (x)} - \int cos (x) e^{s i n (x)} d x

= sin (x) e^{s i n (x)} - \int cos (x) e^{s i n (x)} d x

\int cos (x) e^{s i n (x)} d x = e^{s i n (x)}

= sin (x) e^{s i n (x)} - e^{s i n (x)}

Add a constant to the solution

= sin (x) e^{s i n (x)} - e^{s i n (x)} + C

\int \frac{1}{x ^{\frac{7}{4}}} d x

\int \frac{64 x ^{2} - 25}{x ^{3}} d x

\int \frac{( x + 1 )}{9 - x ^{2}} d x

\int (3 x - 7)^{11} d x

What is the integral of cos(x)sin(x)e^{sin(x)} ?
The integral of cos(x)sin(x)e^{sin(x)} is sin(x)e^{sin(x)}-e^{sin(x)}+C