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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: o to infinity dx/(a*a + x*x) to the power 7.
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pranay_robot (152)

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Olaaa!! Perrrfect answer. 28  [34 rates]

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raulrag009 (1194)

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is it x*x or xsquare
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sboosy (3011)

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putting x=atan(b)
limit changes from 0 to pi/2
dx=asecb*secb db
substituing
weget
integral of o to pi/2
cos^12b(cos power 12 b) db/ a^13
so using reduction formula
ans:
1/a^13 * [11*9*7*5*3*1] / [12*10*8*6*4*2] * pi/2
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