- #1
How can I simplify this integral equation with a complex numerator?
- Thread starter AntonioDuarte2001
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The discussion focuses on simplifying a complex integral equation, specifically aiming to reach the final result of 2(1-x)^(1/2) + C. Participants suggest that the integral can be reduced to -∫(dx/√(1-x)). The simplification process involves recognizing that the square of the square root, (√(1-x))^2, equals 1-x, which can then be substituted into the denominator. The conversation highlights the importance of canceling terms in the numerator and denominator, although one participant expresses confusion about dividing terms within square roots. Ultimately, the key takeaway is the need to carefully analyze the entire expression for effective simplification.
- #2
anuttarasammyak
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Hi. It is easily reduced to
- \int \frac{dx}{\sqrt{1-x}}
- \int \frac{dx}{\sqrt{1-x}}
- #3
AntonioDuarte2001
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I don't understand why.. can you show me the steps of the simplifying?anuttarasammyak said:
- #4
anuttarasammyak
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(\sqrt{1-x})^2= ?
- #5
AntonioDuarte2001
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1-xanuttarasammyak said:
- #6
anuttarasammyak
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OK, then input it in denominator of your integrand.
- #7
- #8
Office_Shredder
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Cancel some stuff in the numerator and denominator. Do you see what you can cancel?
- #9
AntonioDuarte2001
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Thats my doubt! I can't divide anything in the square roots..Office_Shredder said:
- #10
Office_Shredder
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The numerator is more than just the stuff in your parentheses. Look at your whole expression.