integration of- 1/(1-x2(1-x2)1/2)dx = ?

assume x = sin, dx = cos dso 1 – x^2 = cos^2so integration becomes sec^2 d = tan = tan (sin-1 x)

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Grade 12Integral Calculus

integration of- 1/(1-x²(1-x²)^1/2)dx = ?

Harsh

11 Years agoGrade 12

1 Answer

Suraj Prasad

11 Years ago

assume x = sin $\Theta$ , dx = cos $\Theta$ d $\Theta$

so 1 – x^2 = cos^2 $\Theta$

so integration becomes $\int$ sec^2 $\Theta$ d $\Theta$ = tan $\Theta$ = tan (sin-1 x)

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integration of- 1/(1-x2(1-x2)1/2)dx = ?

Harsh

1 Answer

Suraj Prasad

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