Differential Equation - Integral Calculus - Single Correct Type Questions(JEE ADVANCED) Part 2

 Q.1

Correct Answer is:C

Solution Explain:

Q.2

Correct Answer is:A

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Q.3

Correct Answer is:C

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Q.4

Correct Answer is:C

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Q.5

Correct Answer is:B

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Q.6

Correct Answer is:A

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Q.7

Correct Answer is:A

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Q.8

Correct Answer is:D

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Q.9

Correct Answer is:D

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Q.10

Correct Answer is:C

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Q.11

Correct Answer is:B

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Q.12

Correct Answer is:C

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Q.3

Correct Answer is:B

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Q.4

Correct Answer is:B

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Q.5

Correct Answer is:B

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Q.6

Correct Answer is:A

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Q.7

Correct Answer is:B

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Q.8

Correct Answer is:A

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Q.9

Correct Answer is:D

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Q.10

Correct Answer is:D

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Q.11

Correct Answer is:B

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Q.12

Correct Answer is:B

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Q.13

Correct Answer is:C

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Q.14

Correct Answer is:A

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Q.15

Correct Answer is:A

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Q.16

Correct Answer is:B

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Q.17

Correct Answer is:B

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Q.18

Correct Answer is:B

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Q.19

Correct Answer is:C

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Q.20

Correct Answer is:B

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Q.21

Correct Answer is:D

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Q.22

Correct Answer is:B

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Q.23

Correct Answer is:A

Solution Explain:

Integrating we get,
f(x).f(-x) = c
f(0) = 3 ⇒ c = 9
f(x).f(-x) = 9

Let x = -t
⇒
⇒
⇒ I = 17

Q.24

Correct Answer is:A

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Q.25

Correct Answer is:C

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Q.26

Correct Answer is:B

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Q.27

Correct Answer is:C

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Q.28

Correct Answer is:C

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Q.29

Correct Answer is:C

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Q.30

Correct Answer is:B

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Q.31

Correct Answer is:B

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Q.32

Correct Answer is:A

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Q.33

Correct Answer is:B

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Q.34

Correct Answer is:A

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Q.35

Correct Answer is:D

Solution Explain:

Given ∫f(x)dx = F(x) + c
∴ f(x) = F'(x)          .....(1)
Now, given f(x) + cosx.F(x) = 
⇒ F'(x) + cosx.F(x) = 
⇒ 
∴ 
Put sinx = t
∴ 
∴ 
∴ f(x) = F'(x) = 

Q.36

Correct Answer is:B

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Q.37

Correct Answer is:D

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Q.38

Correct Answer is:A

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Q.39

Correct Answer is:A

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Q.40

Correct Answer is:C

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