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if `f(x)=` maximum `(sinx,cosx,(1)/(2))` and the area bounded by `y=f(x)`, x-axis, y-axis and `x=2pi` be `lamda(pi)/(12)+sqrt(2)+sqrt(3)` sq. units then the value of `lamda` is |
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Answer» Correct Answer - 5 reqruied area `=int_(0)^((pi)/(4))cosxdx+int_((pi)/(4))^((5pi)/(6))sinxdx+int_((5pi)/(6))^((5pi)/(3))(1)/(2)dx+int_((5pi)/(3))^(pi)cosxdx` `=(1)/(sqrt(2))+((sqrt(3))/(2)+(1)/(sqrt(2)))+(5pi)/(12)+(sqrt(3))/(2)` `=(5pi)/(12)+sqrt(2)+sqrt(3)sq.` units |
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