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B
π2
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C
0
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D
none of these
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Solution
The correct option is D none of these Let I=∫3π10π5cosxcosx+sinxdx Multiply numerator and denominator by sec3(x) I=∫3π10π5sec2xsec2x+sec2xtanxdx=∫3π10π5sec2x1+tanx+tan2x+tan3xdx Put t=tanx⇒dt=sec2xdx ∴I=∫tan3π10tanπ51u2+u3+u+1du