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Integration

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iniyavanvirapouthiran
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19 views1 page

Integration

Uploaded by

iniyavanvirapouthiran
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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∫ 𝑥 𝑎−1 𝑐𝑜𝑠(𝑙𝑛 𝑥 ) ⅆ𝑥
0

𝑥 ⅈ = ⅇ ⅈ 𝑙𝑛 𝑥 = 𝑐𝑜𝑠(𝑙𝑛 𝑥 ) + ⅈ 𝑠ⅈ𝑛(𝑙𝑛 𝑥 )
1 1
𝑎−1 ⅈ
𝑥 𝑎−ⅈ
𝑅ⅇ (∫ 𝑥 𝑥 ⅆ𝑥 ) = 𝑅ⅇ ([ ] )
𝑎+ⅈ 𝑜
0

1 1 𝑎−ⅈ
𝑅ⅇ ( ) = 𝑅ⅇ ( × )
𝑎+ⅈ 𝑎+ⅈ 𝑎−ⅈ
𝑎 ⅈ
𝑅ⅇ ( 2 − 2 )
𝑎 +1 𝑎 +1
𝑎
𝑎2 + 1

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