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The value of 0π2/4sin xdx is

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detailed solution

Correct option is C

Putting x=t dx=2t dt∫0π2/4 sin⁡ xdx=2∫0π/2 tsin⁡t dt=2[−tcos⁡ t]0π/2+∫0π/2 cos⁡ t dt=20+sin⁡ tπ/20=2


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