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Question
Integrate the following functions with respect to x:
`1/sqrt(1 - 81x^2)`
Solution
`int ("d"x)/sqrt(1 - ("a"x + "b")^2) = 1/"a" sin^-1 ("a"x + "b") + "c"`
`int ("d"x)/sqrt(1 - 81x^2) = int ("d"x)/sqrt(1 - (9x)^2`
= `1/9 sin^-1 (9x) + "c"`
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Choose the correct alternative:
If `int f"'"(x)"e"^(x^2) "d"x = (x - 1)"e"^(x^2) + "c"`, then`f(x)` is
