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B
π/2
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C
π/4
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D
None of these.
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Solution
The correct option is Cπ/4 Let I=∫π/20√cosx√sinx+√(cosx)dx ...(1) Using integration property I=∫π/20√cos(π2−x)√sin(π2−x)+√(cos(π2−x))dx =∫π/20√sinx√cosx+√sinxdx ...(2) Adding (1) and (2), we get 2I=∫π/20dx=π2⇒I=π4