IIT JEE , AIEEE Forum - Mathematics , Integral Calculus

ruhi

hi........dis ques is of viteee.........
integral 0 to infinity dx/(a^2 + x^2)^7
plzzz need a quick reply
thanx

ruhi

hellooooooooooo.............neone
plz helpp!!!!

shubham_sachdeva

hi!!!!!!!!!!!!!

i think ki first binomial se expand ker lo then integrate kar do......i m not sure

KAB

Put x=atanQ

Then the integral becomes

_{[0 ]}

^{[pi/2 ]} cos¹²QdQ*(1/a¹³)

=(1/a¹³)*{((12-1)(12-3)....)/(12(12-2)(12-4)....)}*pi/2 (Reduction formula)

ruhi

hmm...........okk
but tell me if dere is ne another method........wid out using reduction formula...........btw here r the options...........
(A) 231/2047 a^13
(b) 235/2048 a^13
(c) 232/2047 a^13
(d) 231/2048 a^13

ruhi

somebody plz give me the full soln

nigitha_17

hey i got it

put x=atanp

then u get

_{[ 0]}

^{[ pi/2]} asec²p dp/a¹⁴(sec²p)⁷

^_.....

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