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Summary Indefinite Integrals

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Handwritten cheat sheet for Indefinite Integrals by JEE 2020, GATE, CSIR topper.

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Uploaded on
January 14, 2024
Number of pages
8
Written in
2019/2020
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dndefnte dtegsaticn
Fu) +C means F0=fo
Adefinite intearaion is_a no. &indefinite
isafuct




a(n+)
Ldee za l nlan bl +c
et dx = le
da
P
sWsin Cax tb)dc =-lcos (a +b) +c
62dcos (ox+b)de =Lsin (a+ b) tc
nCaxct blde = hlsec.(a+ b)l +c
B)dcot (ox +b)dx = nlsinCax+b)+c
9) Jsec? Cax+b) de =ton (ox +b) +c
1o) dcoseclax+ bld«e -lLcot Cax + b) +c

, sec Cactb). ton ax +btx= l
Seclaxtb) t c
eosec Cax tb cot lan tbd =-lcosec ar
thte
secxde = nlseA +tanxltc= nlcasxtc
J-sin


)dcAsecxdx =
=ln sinY+C alcasek -cotal tc= ntan kc
II+CosX
=_Sin tc= -cos tc
Ja-x
ld= Ltann +C=|cot a tc
a
LSecC -lcosecA
a
+C
8)d
Vxta2 a

19)dx-h t a+c= cosh'y +
20ddu=L
a²-x2 20 alatx +ctunh a

2dd n2-a2
d a LaJ
a'sin
2 2


23)Vto? d = t?ta?
2
+

a
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