Thread to share Good Questions from Calculus which requires deep thinking

#199

Great thanks

#200

IMG-20180922-WA0015
@pratyaksh_tyagi @Viraj @Naman @Aayush @Satyendra_2019

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#202

Don't know the answer. Share the solution

#204

How ? @aayush cos(pi-x) = -cosx right?

@Siddhant_Mudholkar Not yet completed this chap .. Try but..

#205

Oh read that as sinx sorry.

#206

Is the ans π^2/2?

#207

I dont think so bro :open_mouth: getting something diff
Yeah now correct @Anindya_Sikdar

#208

Answer is \displaystyle \frac{\pi^{2}}{2}
@Siddhant_Mudholkar
Feynman trick

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#209

Yeah. Got same
Yes

#210

Is there any more tricks like Feynman in integration ? , I used that just in some problems , anyone knows ?

#211

Feynman is way out of syllabus..and you are searching for more :smile:
Feynman is not for time saving...it is for solving some integrals which look unsolvable
Nope

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#212

Just for time saving @Naman bro Yeah I mean for trickier problems that is time saving

1 Like
#213

\displaystyle \int_{0}^{1} \frac{2^{x}}{(\sqrt{5}+1)^{x}+(\sqrt{5}+3)^{x}} dx
A good question well inside JEE syllabus.

6 Likes
#215

Try yourself..I'm not giving any hint :wink:

3 Likes
#216

Can u share solution I am getting π/2

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#217

Take ln(1+acosx) , differentiate

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#218

Ohh got it a silly mistake sorry

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#219

Is there any other trick to solve unsolvable looking questions? in calculus?? Or jee maths?
Like this feynmann as i got to know this some weeks before and I felt very good after knowing it. @Naman @Anindya_Sikdar @Siddhant_Mudholkar

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#220

No other chapters have much of unsolvable question I think
Integration is the only one

1 Like
#221

Btw @Siddhant_Mudholkar @Anindya_Sikdar @pratyaksh_tyagi @naman any ques of feynmann came in jee till now?