1.

The value of int_(0)^(100)[tan^(-1)x]dx is ([.]G.I.G)

Answer»

100
`100-TAN^(-1)1`
`100-tan1`
`100+(PI)/4`

Solution :We have
`int_(0)^(100)[tan^(-1)x]dx=int_(0)^(tan1)[tan^(-1)x]dx+int_(tan1)^(100)[tan^(-1)x]dx`
`impliesint_(0)^(100)[tan^(-1)x]dx=int_(0)^(tan1) 0 dx+int_(tan1)^(100) dx=100-tan1`


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