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NCERT Solutions Class 12 Maths Chapter 7, Exercise 7.11, , By using the properties of definite integrals, evaluate the integrals in Exercises 1 to 19., Question 1:, , Solution:, , Adding (1) and (2), we get, , Question 2:, , Solution:, , Consider,
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Adding (1) and (2), we get, , Question 3:, , Solution:, , Let, , Adding (1) and (2), we get
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Question 4:, , Solution:, Consider,, , Adding (1) and (2), we get, , Question 5:, , Solution:, Let, As,, , on, , and, , on
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Question 6:, , Solution:, Consider,, As, , Question 7:, , Solution:, , Consider,
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Question 8:, , Solution:, , Let
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Question 9:, , Solution:, , Consider,, , Question 10:, , Solution:, Consider,, , Since,, Adding (1) and (2), we get
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Question 11:, , Solution:, Let, As, If, , , therefore, is an even function, then, , is an even function.
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Question 12:, , Solution:, Let, , Adding (1) and (2), we get, , Question 13:, , Solution:, Let, As, , , thus, is an odd function, then, , is an odd function.
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Question 14:, , Solution:, Let, We know that,, , if, if, , Question 15:, , Solution:, Consider,, , Adding (1) and (2), we get
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Question 16:, , Solution:, Consider,, , Adding (1) and (2), we get, , Adding (4) and (5), we get
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Question 17:, , Solution:, Let, We know that,, , Adding (1) and (2), we get, , …(1)
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Question 18:, , Solution:, Since,, , Question 19:, Show, , that, , Solution:, Let, , Adding (1) and (2), we get, , if, , f, , and, , g, , are, , defined, , as
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Question 20:, The value of, A. 0, B. 2, C., D. 1, Solution:, Consider,, , For, If, And, , an even function, then, is an odd function, then, , Thus, the correct is option C., , is
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Question 21:, The value of, A. 2, B., C. 0, D. -2, Solution:, Let, , Adding (1) and (2), we get, , Thus, the correct option is C., , is