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Find the area of the region bounded by the curve ` y = sinx `, the lines ` x = - ( pi ) /(2), x = ( pi ) /(2) ` and X- axis. |
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Answer» Required Area `=int_(-pi//2)^(pi//2)y.dx,` where `y=sinx` `=int_(-pi//2)^(pi//2)sinx dx` `=2int_(0)^(pi//2)sinx.dx" (Using property)"` `=2[-cosx]_(0)^(pi//2)` `=2[-cos pi//2+cos0]` `=2[0+1]="2 sq. units."` |
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