6. We have for and and so
.
We apply this result for and :
7. so
and finally
Let S be the integration symbol
1. S (dx)/ (x. sec ^3 (ln (x)) dx
2. S (x^3)/(sqrt (x^2 -4 )) dx
3. S (2sec x)/(sin x + cos x) dx
4. S sqrt (sqrt (x) -1) dx
5. S sec^3 (x). tan^3 (x) dx
6. S sin (5x)*cos (7x) dx
7. S (e^(x) -3)/(e^(x) +2) dx
8. S (sec^4 (x))/(tan^2 (x)) dx
9. S (sin 2x)/(1 + 3sin^2 (x))^3 dx
Sorry for the many questions, but I wanna make sure of everything related to Integration before my Exam the next Thursday.
Thanks in Advance !!
It is completely unreasonable that you would expect this list of questions to get answered. Especially since there is no sign of any attempt or effort having been made by you.
Use this website (be sure to click on Show steps after submitting the question): Wolfram|Alpha
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