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If the value of then the value of is
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4
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8
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12
d
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Correct option is B
Since the integrand is an even function so required integral is equal to 2∫02 |xcosπx|dx=2∫01/2 xcosπxdx−∫1/23/2 xcosπxdx+∫3/22 xcosπxdx=2xsinπxπ+cosπxπ201/2−xsinπxπ+cosπxπ21/23/2+xsinπxπ+cosπxπ2y22=212π−1π2−−32π−12π+1π2−−32π=8πSimilar Questions
The value of is
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