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int x tan ^(-1) x dx, x in R....

`int x tan ^(-1) x dx, x in R.`

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Evalute the following integrals int tan^(-1) x dx on R

Evaluate the integerals. int (tan ^(-1)x)/(x ^(2))dx, x in I sub R \\{0}.

Knowledge Check

  • int sin (tan^(-1) x) dx =

    A
    `(1)/(sqrt(x +x^(3))) + C `
    B
    `(1)/(sqrt(1- x^(2)))` + C
    C
    `sqrt(1 +x^(2)) + C`
    D
    `sqrt(1 -x^(2)) `+ C

  • int tan^(4) x dx=

    A
    `(1)/(3) tan^(3)x +x+c`
    B
    `tan^(3) x-tanx-x+c`
    C
    `(1)/(3)tan^(3)-tan x+x+c`
    D
    `tan^(3) x-tan x+x+c`

  • int x sec x tan x dx=

    A
    `x sec x- log |secx- tan x|-c`
    B
    `x sec x+ log |secx- tan x|-c`
    C
    `x sec x- log |secx+ tan x|+c`
    D
    none

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    int_(0)^(1)x tan^(-1) x dx

    Evaluate int x^(2) tan^(-1) x dx

    Evaluate the integerals. int (sin(Tan ^(-1) x))/(1+x^(2))dx, x in R.

    int(sin (Tan ^(-1)x))/(1+x^(2))dx, x in R.

    If 2 int_(0)^(1) tan^(-1) x dx = int_(0)^(1) cot^(-1) (1- x+x^(2))dx , then int_(0)^(1) tan^(-1) (1-x+x^(2))dx is equal to

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