Doubt from definite integration

Question no 1,2 and 315730472817234267817824865300457

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Thanks

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I had also got 1/2 but i think something is mistake in answer key15730520572502029785654377852967

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Oh what a answer question in answer key

Question no 3 also help

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Question 615731284026799218990098980175555

1573130962400-543853696

Pls check
I am getting zero

If anyone has more questions for practice of such types of questions as question 6 pls send .

Yes correct

In third step in rhs in the integral what is the upper limit you have taken t or x

It is x

Question 5,6 and 71573135089968950676508734009269

7-A is answer

No D is given as answer

Yes d Sending solution

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