Advertisements
Advertisements
Question
Integrate the following with respect to x:
`(1 - x^2)^(- 1/2)`
Solution
`int (1 - x^2)^(- 1/2) "d"x = int 1/(1 - x^2)^(1/2) "d"x`
= `int ("d"x)/sqrt(1 - x^2)`
= sin–1 x + c
APPEARS IN
RELATED QUESTIONS
Integrate the following with respect to x:
x11
Integrate the following with respect to x:
`1/x^7`
Integrate the following with respect to x:
`root(3)(x^4)`
Integrate the following with respect to x:
`(x^5)^(1/8)`
Integrate the following with respect to x:
`1/(sin^2x)`
Integrate the following with respect to x:
`tanx/cosx`
Integrate the following with respect to x:
`cosx/(sin^2x)`
Integrate the following with respect to x:
`1/(cos^2x)`
Integrate the following with respect to x:
123
Integrate the following with respect to x:
`(x^24)/(x^25)`
Integrate the following with respect to x:
ex
Integrate the following with respect to x:
(1 + x2)–1
Choose the correct alternative:
If `int f(x) "d"x = g(x) + "c",` then `int f(x)g"'"(x) "d"x`