1/√x²-x+5,integrate the given w. r.t. x.

We have to integrate 1/√(x² - x + 5)

Let's rearrange the term (x² - x + 5).
e.g., x² - x + 5 = x² -2.1/2.x + (1/2)² - (1/2)² + 5
= (x - 1/2)² - 1/4 + 5
= (x - 1/2)² + 19/4
= (x - 1/2)² + (√19/2)²

now,


we know,

so,

=

answer:

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answer:

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