integration with audio 24 sep 13
TRANSCRIPT
![Page 1: Integration with audio 24 sep 13](https://reader033.vdocument.in/reader033/viewer/2022051414/55a203481a28ab38268b480a/html5/thumbnails/1.jpg)
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∫ += c x dx
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∫ ∫ +== ckx dx k dx k
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∫ ++
=+
c 1n
x dx x
1nn
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∫ += c x log dxx
1
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∫ += c e dx e xx
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∫ += c e m
1 dx e mxmx
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∫ += c a log
a dx a
xx
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∫ += c a log m
a dx a
mxmx
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∫ += c x Cos - dx Sin x
∫ += ckx Cos k
1- dx kx Sin
∫ += c x 3 Cos 3
1- dx 3x Sin
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∫ += cSin x dx x Cos
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∫ += c x Sec dx xtan x Sec
∫ += c x Cosec- dx Cot x x Cosec
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∫ += c xSec log dx tan x
∫ += c Sin x log dx Cot x
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∫ += c tan x dx x Sec 2
∫ += ccot x - dx x Cosec 2
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∫ +=−
cxSindxx1
1 1-
2
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∫ +=−
ca
xSindx
xa
1 1-
22
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∫ +=+
cxtandxx1
1 1-2
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∫ +=+
ca
xtan
a
1dx
xa
1 1-22
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∫ ++=−
cx-a
xa log
2a
1dx
xa
122
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∫ ++
=−
cax
a-x log
2a
1dx
ax
122
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∫ +++=+
caxxlogdxax
1 22
22
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∫ +−+=−
caxxlogdxax
1 22
22
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∫ − dxxa 22
ca
xSin
2
a xa
2
x 1
222 ++−= −
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∫ + dxxa 22
cxax log2
a xa
2
x 22
222 +++++=
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∫ dxa-x 22
ca-xx log2
a-a-x
2
x 22
222 ++=