CBSE Class 12-science Answered
Asked by Prajapatiraj770 | 09 Jun, 2021, 09:25: AM
![begin mathsize 14px style I space equals space integral fraction numerator sin x space cos x space d x over denominator square root of 1 plus sin squared x end root end fraction end style](https://images.topperlearning.com/topper/tinymce/cache/5b8d742c41902acd553370d5cb43ddea.png)
Let us use the substitution ( 1 + sin2x ) = u
Then integration becomes
![begin mathsize 14px style I space equals space 1 half integral space fraction numerator d u over denominator square root of u end fraction space equals space 1 half square root of u space plus space C end style](https://images.topperlearning.com/topper/tinymce/cache/0fd65beb96f2dc5983e57061755579d3.png)
![begin mathsize 14px style I space equals space 1 half square root of 1 plus sin squared x end root space plus space C end style](https://images.topperlearning.com/topper/tinymce/cache/7379565e7f6835a55f2c376784207d60.png)
Answered by Thiyagarajan K | 20 Sep, 2021, 08:57: AM
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