Integrate #\int {sin(2x)}/{sinx}dx# ?
2 Answers
Jun 21, 2018
# int \ sin(2x)/sinx \ dx =2 sinx + C #
Explanation:
We seek:
# I =int \ sin(2x)/sinx \ dx #
Using the double angle formula:
# sin 2x -= 2sinxcosx #
We can write:
# I =int \ (2sinxcosx)/sinx \ dx #
# \ \ =2 \ int \ cosx \ dx #
# \ \ =2 sinx + C #
Jun 21, 2018
Explanation:
We know that,
Here,