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[6.x tan^(-1)x],[7.sin^(-1)(e^(tan^(-1)x...

[6.x tan^(-1)x],[7.sin^(-1)(e^(tan^(-1)x)]

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Let |{:(tan^(-1)x, tan^(-1)2x, tan^(-1)3x), (tan^(-1)3x, tan^(-1)x, tan^(-1)2x), (tan^(-1)2x, tan^(-1)3x, tan^(-1)x):}|=0 , then the number of values of x satisfying the equation is

Solve tan^(-1)(x-1) +tan^(-1) x +tan^(-1)(x+1)= tan^(-1)(3x) .

Solve : tan^(-1)(x-1)+tan^(-1)x+tan^(-1)(x+1)=tan^(-1)3x

Solve : tan^(-1)(x-1)+tan^(-1)x+tan^(-1)(x+1)=tan^(-1)3x

The value of the definite integral (1)/(pi)int_((pi)/(2))^((5 pi)/(2))(e^(tan^(-1)(sin x)))/(e^(tan^(-1)(sin x)+e^(tan^(-1)(cos x)))dx is )

lim_ (x rarr0) (sin (tan x) -tan (sin x)) / (tan ^ (- 1) (sin ^ (- 1) x) -sin ^ (- 1) (tan ^ (- 1) x )) =

If tan^(-1)(x-1)+tan^(-1)x+tan^(-1)(x+1)=tan^(-1)3x , then x =

Solve: tan^(-1)(x-1)+tan^(-1)x+tan^(-1)(x+1)= tan^(-1)3x.

tan(sin^(-1)x+cos^(-1)x)

int e^(tan^(-1)x)(1+x+x^(2))d(cot^(-1)x) is equal to -e^(tan^(-1)x)+c(b)e^(tan^(-1)x)+c-xe^(tan^(-1)x)+c(d)xe^(tan-1)x+c