Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
klimenkov
Group Title
\[\int_{\frac{\pi}2}^{\frac{\pi}2} \frac{\sin^{2014}x}{\sin^{2014}x + \cos^{2014}x} \, dx\]
 2 months ago
 2 months ago
klimenkov Group Title
\[\int_{\frac{\pi}2}^{\frac{\pi}2} \frac{\sin^{2014}x}{\sin^{2014}x + \cos^{2014}x} \, dx\]
 2 months ago
 2 months ago

This Question is Closed

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.0
even/odd stuff ha ?
 2 months ago

BSwan Group TitleBest ResponseYou've already chosen the best response.0
2014 is order of derivative ?
 2 months ago

hartnn Group TitleBest ResponseYou've already chosen the best response.3
\(\Large \int_a^b f(x) dx= \int_a^bf(a+bx)dx \) use this!
 2 months ago

klimenkov Group TitleBest ResponseYou've already chosen the best response.1
@BSwan 2014 is the power.
 2 months ago

hartnn Group TitleBest ResponseYou've already chosen the best response.3
after you have proved that your function is even
 2 months ago

hartnn Group TitleBest ResponseYou've already chosen the best response.3
\(\Large \int_{a}^a f(x) dx = 2\int_0^a f(x)dx\) if f(x) is even function
 2 months ago

hartnn Group TitleBest ResponseYou've already chosen the best response.3
did u get what to do ?
 2 months ago

klimenkov Group TitleBest ResponseYou've already chosen the best response.1
\[2\int\limits_0^{\frac{\pi}2} \frac{\sin^{2014}x}{\sin^{2014}x + \cos^{2014}x} \, dx\]What's next?
 2 months ago

hartnn Group TitleBest ResponseYou've already chosen the best response.3
\(\Large \int_a^b f(x) dx= \int_a^bf(a+bx)dx\) replace x by pi/2  x
 2 months ago

hartnn Group TitleBest ResponseYou've already chosen the best response.3
\(I = 2\int\limits_0^{\frac{\pi}2} \frac{\sin^{2014}x}{\sin^{2014}x + \cos^{2014}x} \, dx ... ... (A)\) just giving a label, to be used later
 2 months ago

klimenkov Group TitleBest ResponseYou've already chosen the best response.1
\[2 \int\limits_0^{\frac{\pi}2} \frac{\cos^{2014}x}{\sin^{2014}x + \cos^{2014}x} \, dx\]
 2 months ago

hartnn Group TitleBest ResponseYou've already chosen the best response.3
\(I = 2 \int\limits_0^{\frac{\pi}2} \frac{\cos^{2014}x}{\sin^{2014}x + \cos^{2014}x} \, dx ... ... (B)\) Add (A) and (B)
 2 months ago

klimenkov Group TitleBest ResponseYou've already chosen the best response.1
\[I = 2 \int\limits_0^{\frac{\pi}2} \frac{\cos^{2014}x}{\sin^{2014}x + \cos^{2014}x} \, dx\]
 2 months ago

hartnn Group TitleBest ResponseYou've already chosen the best response.3
what ? why negative ?
 2 months ago

hartnn Group TitleBest ResponseYou've already chosen the best response.3
dx remains as dx
 2 months ago

hartnn Group TitleBest ResponseYou've already chosen the best response.3
i am NOT doing any substitution
 2 months ago

klimenkov Group TitleBest ResponseYou've already chosen the best response.1
Yeah, everything is okay. My fault. \[I + I = 2\int_0^{\frac\pi2}dx,\]\[I=\frac\pi2.\]Very nice, thank you.
 2 months ago

hartnn Group TitleBest ResponseYou've already chosen the best response.3
welcome ^_^
 2 months ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.