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If the area bounded by y=f(x), x=(1)/(2)...

If the area bounded by y=f(x), `x=(1)/(2),x=(sqrt3)/(2)` and the X-axis is A sq units where f(x)=`x+(2)/(3)x^(3)+(2)/(3).(4)/(5)x^(5)+(2)/(3).(4)/(5).(6)/(7)x^(7) +...oo,|x|lt1,` Then the value of [4A] is (where[.] is G.I.F)

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Knowledge Check

  • If f(x)=(2x)/(5)+(7)/(3), f^(-1)(x)=

    A
    `(15)/(6x+35)`
    B
    `(6)/(15x+35)`
    C
    `(15x-6)/(35)`
    D
    `(15x-35)/(6)`

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