Integrate the following with respect to x : sin-1x1-x2

Integrate the following with respect to x :

`(sin^-1 x)/sqrt(1 - x^2)`

बेरीज

`int (sin^-1 x)/sqrt(1 - x^2) "d"x`

`sin^-1x` = u

`1/sqrt(1 - x^2) "d"x` = du

`int (sin^-1x)/sqrt(1 - x^2) "d"x = int "u" * "du"`

= `"u"^2/2 + "c"`

`int (sin^-1x)/sqrt(1 - x^2) "d"x = (sin^-1x)^2/2 + "c"`

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पाठ 11: Integral Calculus - Exercise 11.6 [पृष्ठ २०६]

पाठ 11 Integral Calculus
Exercise 11.6 | Q 9 | पृष्ठ २०६

Find the volume of solid generated by rotating the area bounded by x²+y² =36 and the lines x = 0, x = 3 about X -axis.

Evaluate : `∫_0^(pi/2) (sinx.cosx)/(1 + sin^4x)`.dx

Integrate the following functions with respect to x :

(2x – 5)(3x + 4x)

Integrate the following functions with respect to x :

cot²x + tan²x

Integrate the following functions with respect to x :

`(cos 2x)/(sin^2x cos^2x)`

Integrate the following functions with respect to x :

`1/((x - 1)(x + 2)^2`

Integrate the following with respect to x :

`(10x^9 + 10^x log_"e" 10)/(10^x + x^10)`

Integrate the following with respect to x :

x(1 – x)¹⁷