REDuction formula Type

i strugl in dis type.

pl. help.

14 Answers

62
Lokesh Verma ·

first of all see the first statement

F(1) = 0∫pi/2 1 dx = pi/2

now the second or 3rd statement will be true if the integral is such tat

f(7) is someting like pi/4

also the fourth one will be tue if f(2) is somethign like ... (√6-√2)/2

21
tapanmast Vora ·

try to form sum genrealization now..........

39
Dr.House ·

well, avni i am getting the answer as b. is it right?

1
avni ·

absolutely Dear!!!

how did u get it?

39
Dr.House ·

well,
I1=Ï€/2
I2=Ï€
I3=3Ï€/2
...
....
....
I7=7Ï€/2

now u get the result.

1
avni ·

ne proof 4 that ,

coz obsrvtn metjhd is too crude n mite not work in long terms

21
tapanmast Vora ·

he he he....... achha generaloizatn huh!!

ne maths methd

39
Dr.House ·

well, then u need to expand sinnx and that gets to away from the time.

or even otherwise same can be wriittn by converting into cos,

@avni: most of the reduction formulae sums are done in this way only (atleast most of which i have done)

1
°ღ•๓яυΠ·

one method

u can write it as

cosec^2x (sin^2nx)
nw integrate by parts

1
avni ·

okay thanx

39
Dr.House ·

well in 3rd step in brackets its 2 sinnxcosnxsinxcosx . we will not have each raised to power of 2

11
rkrish ·

mera dimag shayad ghaas charne gaya hai. pls koi batao kahaan galti hai.

11
rkrish ·

sahi hai.......thnx

11
rkrish ·

forget it........only wasted time in making mistakes

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