Question
Evaluate the integrausing beta and gamma functions.
Answer :
Word Count : 220
We are asked to evaluate the integral: $$ \int_0^{10} \frac{dx}{\sqrt{10x - x^2}} $$ --- ### Step 1: Simplify the integrand We begin by simplifying the expression inside the square root: $$ 10x - x^2 = -x^2 ____ _________ __________ ________ _____ ___ ___ ______.
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We are asked to evaluate the integral: $$ \int_0^{10} \frac{dx}{\sqrt{10x - x^2}} $$ --- ### Step 1: Simplify the integrand We begin by simplifying the expression inside the square root: $$ 10x - x^2 = -x^2 ____ _________ __________ ________ _____ ___ ___ ______.
____ _________ ________ ________ ____.
___ __________ _______ ________ _____.
______ _________ _______ ________ _____ ___ ____ _______ ___ ____ __________.
____ __________ _____ ___ _________.
_________ _________ ________ ____ ______ _________ ______ ________ __________ _________ ___ ____.
_____ ______ ____ ___ ____ __________ ______ _________.
_______ __________ _______ ______ _______ ____ _________ _____ _______ ____ ______ ________.
______ _________ _____ ___ ___ ________ ___ ____ ________.
_____ ______ __________ _________ ________ _______ ___ __________ __________.
______ ____ ______ ____ _______ __________ _____ ________.
_________ _________ ____ __________ ______ ____.
________ ________ ___ ______ __________ ______.
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____ _____ _______ ______ __________ __________ _________ ___ ____.
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__________ __________ _________ __________ _______ _______ __________.
________ __________ _______ ____ ___ ______ ___ ____ ____ _______ ___ _____.
_____ _________ ____ _________ __________ _________ _________ _______ _____ ___ _____ ______.
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