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Integrate the functions sin^(-1)((2x)/...

Integrate the functions
`sin^(-1)((2x)/(1+x^(2)))`

Text Solution

Verified by Experts

The correct Answer is:
`(2)/(1+x^(2))`
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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-DIFFERENTIATION-Exercise-9(c )
  1. Find the derivative of sin^(-1)(3x - 4x^(3)) with respect of 'x' .

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  2. (d)/(dx)[cos ^(-1)(4x^(3) - 3x)]=

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  3. Integrate the functions sin^(-1)((2x)/(1+x^(2)))

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  4. Find the derivative of "Tan"^(-1)((a-x)/(1+ax))

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  5. Integrate the following functions with respect to x. tan^(-1)sqrt((...

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  6. Find the derivatives of the following functions. y=sin[cos (x^(2))]

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  7. Find the derivatives of the following functions. sec^(-1)((l)/(2x^(2...

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  8. Find the derivative of the function wrt x. sin (tan ^(-1) (e ^(-x)))

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  9. Differentiate f(x) = e^(x) w.r.to g(x) = sqrt(x).

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  10. Differentiate f(x) = e^(sin x) w.r.to g(x) = sin x.

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  11. Find the derivative of f (x ) = Tan ^(-1) ((2x )/( 1 - x ^(2))) w.r.t ...

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  12. If y=e^(a sin^(-1)x) then prove that dy/dx=(ay)/(sqrt(1-x^(2)).

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  13. Find the derivative of Tan^(-1)((3a^(2)x-x^(3))/(a(a^(2)-3x^(2)))).

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  14. Simplify each of the following: tan^(-1)(Secx+tanx)

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  15. Write the following function in the simplest form : "tan"^(-1)(sqrt(...

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  16. Find the derivatives of the following function. (logx)^(tanx)

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  17. Find the derivatives of the following function. (x^(x))^(x)=x^(x^(2)...

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  18. Find the derivative of 20^(log(tanx)).

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  19. Find the derivative of the w.r.to x. x ^(x) + e ^(e ^(x))

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  20. Find the derivatives of the following function. x.logx.log(logx)

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