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Integral lim pi÷2 se pi÷3 root …

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Integral lim pi÷2 se pi÷3 root 1+cosx÷(1-cosx)power 5÷2

Posted by Harsh Jain 6 years, 11 months ago

CBSE > Class 12 > Mathematics

2 answers

Anshika Patel 6 years, 11 months ago

3/32

Nehal Mehta 6 years, 11 months ago

={ (1+cosx)^1/2/(1-cosx)^5/2 ={ √2 cos(x/2)/4√2 sin^5(x/2) Take, sin(x/2) = t So, 1/2cos(x/2)dx=dt Cos(x/2)dx=2dt And when x = π/2 then t = 1/√2 x = π/3 then t = 1/2 = (1/2){t^-5 = -1/8 [t^-4] By putting the value of limits : I = 3/2 . . * { = integration sign *

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