# integrate 1/(2 + 3 sin x) dx

• Jul 19th 2011, 11:56 PM
VinceW
integrate 1/(2 + 3 sin x) dx
Please help me get started on this one... I don't see how to apply substitution, integration by parts, partial fractions, trigonometric substitution, or any of the standard techniques...

$\int \frac{1}{2 + 3 \cdot \sin x} \operatorname{d}x$
• Jul 20th 2011, 12:02 AM
Prove It
Re: integrate 1/(2 + 3 sin x) dx
See here, click "Show Steps".
• Jul 20th 2011, 12:03 AM
chisigma
Re: integrate 1/(2 + 3 sin x) dx
Quote:

Originally Posted by VinceW
Please help me get started on this one... I don't see how to apply substitution, integration by parts, partial fractions, trigonometric substitution, or any of the standard techniques...

$\int \frac{1}{2 + 3 \cdot \sin x} \operatorname{d}x$

The substitution I described in...

http://www.mathhelpforum.com/math-he...al-183053.html

... transforms in all cases integrals of this type into an integral containing rational functions in t...

Kind regards

$\chi$ $\sigma$