Find area bounded by `y = f^(-1)(x), x = 10, x = 4` and x-axis. Given that area bounded by `y = f(x) , x = 2, x = 6` and x -axis is `30` sq. units, where `f(2) = 4` and `f(6) = 10`. (given `f(x)` is an invertiable function).

Find area bounded by `y = f^(-1)(x), x = 10, x = 4` and x-axis. Given

1.	Find area bounded by `y = f^(-1)(x), x = 10, x = 4` and x-axis. Given that area bounded by `y = f(x) , x = 2, x = 6` and x -axis is `30` sq. units, where `f(2) = 4` and `f(6) = 10`. (given `f(x)` is an invertiable function).
Answer» Correct Answer - 22 sq. unit

Consider the integral `I=int_(0)^(2pi)(dx)/(5-2cosx)` Making the substitution `"tan"1/2x=t`, we have `I=int_(0)^(2pi)(dx)/(5-2cosx)=int_(0)^(0)(2dt)/((1+t^(2))[5-2(1-t^(2))//(1+t^(2))])=0` The result is obviously wrong, since the integrand is positive and consequently the integral of this function cannot be equal to zero. Find the mistake.
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`lim_(nrarroo) sum_(r=0)^(n-1) (1)/(sqrt(n^(2)-r^(2)))`
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