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Ts Eamcet

Indefinite Integration

TS EAMCET 2023 (Online) 12th May Evening Shift

MCQ+1 / -02023
\(\text { Match the following items from List I into List II }\)






















































List-IList-II
1.









sin

2





x







cos

4





x





d

x











sin

2





x







cos

4





x





d

x

int(sin^(2)x)/(cos^(4)x)dx
A.













tan

2





x



2



+

ln





|



cos



x



|



+

C















tan

2





x



2



+

ln





|



cos



x



|



+

C

quad(tan^(2)x)/(2)+ln |cos x|+C
2.









sin

4





x







cos

2





x





d

x











sin

4





x







cos

2





x





d

x

int(sin^(4)x)/(cos^(2)x)dx
B.

cos



x

+

sec



x

+

C



cos



x

+

sec



x

+

C

cos x+sec x+C
3.









sin

3





x







cos

2





x





d

x











sin

3





x







cos

2





x





d

x

int(sin^(3)x)/(cos^(2)x)dx
C.







tan

3





x



3



+

C









tan

3





x



3



+

C

(tan^(3)x)/(3)+C
4.









sin

3





x







cos

3





x





d

x











sin

3





x







cos

3





x





d

x

int(sin^(3)x)/(cos^(3)x)dx
D.

tan



x

+





sin



2

x



4









3

x



2



+

C



tan



x

+





sin



2

x



4









3

x



2



+

C

tan x+(sin 2x)/(4)-(3x)/(2)+C
E.

cos



x



sec



x

+

C



cos



x



sec



x

+

C

cos x-sec x+C

Select the correct choice

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