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Integration with audio 24 sep 13

Date post: 12-Jul-2015
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Page 1: Integration with  audio 24 sep 13
Page 2: Integration with  audio 24 sep 13

Presented by

G Athi ArunachalamM.Sc, M.Phil, B.Ed.

[email protected]

Page 3: Integration with  audio 24 sep 13

∫ += c x dx

Page 4: Integration with  audio 24 sep 13

∫ ∫ +== ckx dx k dx k

Page 5: Integration with  audio 24 sep 13

∫ ++

=+

c 1n

x dx x

1nn

Page 6: Integration with  audio 24 sep 13

∫ += c x log dxx

1

Page 7: Integration with  audio 24 sep 13

∫ += c e dx e xx

Page 8: Integration with  audio 24 sep 13

∫ += c e m

1 dx e mxmx

Page 9: Integration with  audio 24 sep 13

∫ += c a log

a dx a

xx

Page 10: Integration with  audio 24 sep 13

∫ += c a log m

a dx a

mxmx

Page 11: Integration with  audio 24 sep 13

∫ += c x Cos - dx Sin x

∫ += ckx Cos k

1- dx kx Sin

∫ += c x 3 Cos 3

1- dx 3x Sin

Page 12: Integration with  audio 24 sep 13

∫ += cSin x dx x Cos

Page 13: Integration with  audio 24 sep 13

∫ += c x Sec dx xtan x Sec

∫ += c x Cosec- dx Cot x x Cosec

Page 14: Integration with  audio 24 sep 13

∫ += c xSec log dx tan x

∫ += c Sin x log dx Cot x

Page 15: Integration with  audio 24 sep 13

∫ += c tan x dx x Sec 2

∫ += ccot x - dx x Cosec 2

Page 16: Integration with  audio 24 sep 13

∫ +=−

cxSindxx1

1 1-

2

Page 17: Integration with  audio 24 sep 13

∫ +=−

ca

xSindx

xa

1 1-

22

Page 18: Integration with  audio 24 sep 13

∫ +=+

cxtandxx1

1 1-2

Page 19: Integration with  audio 24 sep 13

∫ +=+

ca

xtan

a

1dx

xa

1 1-22

Page 20: Integration with  audio 24 sep 13

∫ ++=−

cx-a

xa log

2a

1dx

xa

122

Page 21: Integration with  audio 24 sep 13

∫ ++

=−

cax

a-x log

2a

1dx

ax

122

Page 22: Integration with  audio 24 sep 13

∫ +++=+

caxxlogdxax

1 22

22

Page 23: Integration with  audio 24 sep 13

∫ +−+=−

caxxlogdxax

1 22

22

Page 24: Integration with  audio 24 sep 13

∫ − dxxa 22

ca

xSin

2

a xa

2

x 1

222 ++−= −

Page 25: Integration with  audio 24 sep 13

∫ + dxxa 22

cxax log2

a xa

2

x 22

222 +++++=

Page 26: Integration with  audio 24 sep 13

∫ dxa-x 22

ca-xx log2

a-a-x

2

x 22

222 ++=


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