If `I=int_(-20pi)^(20pi)|sinx|[sinx]dx` (where [.] denotes the greatest integer function) then the value of `I` isA. `-40`B. `40`C. `20`D. `-20`

If `I=int_(-20pi)^(20pi)|sinx|[sinx]dx` (where [.] denotes the greates

1.	If `I=int_(-20pi)^(20pi)\|sinx\|[sinx]dx` (where [.] denotes the greatest integer function) then the value of `I` isA. `-40`B. `40`C. `20`D. `-20`
Answer» Correct Answer - A `int_(-20pi)^(20pi)\|sinx\|[sinx]dx=int_(0)^(20pi)\|sinx\|([sinx]+[-sinx])dx` `=-20int_(0)^(pi)(sinx)dx` `=-20(=cosx)_(0)^(pi)` `=20(2)` `=-40`

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