Recent content by askor

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    I Integration of √(1-x^2) with x=sinθ: Check Correctness and Simplification

    What does it mean? I don't understand.
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    B What Math Is This? (Logic of Mathematics)

    Does the Truth Table is included in Symbolic Logic?
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    I Integration of √(1-x^2) with x=sinθ: Check Correctness and Simplification

    Hello, anybody home? Can someone please answer my question?
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    B What Math Is This? (Logic of Mathematics)

    Can someone please tell me what math is this (see below pic)? For example: algebra, calculus, etc.
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    I Integration of √(1-x^2) with x=sinθ: Check Correctness and Simplification

    Can I modify the result such as ##\theta = \cos^{-1} (\sqrt{1 - x^2})##, so that the final result will be ##\frac{1}{2} \cos^{-1} (\sqrt{1 - x^2}) + \frac{1}{2} x \sqrt{1 - x^2} + C##?
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    I Integration of √(1-x^2) with x=sinθ: Check Correctness and Simplification

    Does my below integration is correct? ##\int \sqrt{1 - x^2} \ dx## Let ##x = \sin \theta##, then ##dx = \cos \theta \ d \theta##, ##\cos \theta = \sqrt{1 - x^2}##, ##\theta = \sin^{-1} (x)## ##\int \sqrt{1 - x^2} \ dx## ##= \int \left( \sqrt{1 - \sin^2 \theta} \right) \ \left( \cos \theta \...
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    Engineering Need Advice on Fundamentals of Fluid Mechanics Textbook

    I would like to buy a Fundamentals of Fluid Mechanics for Engineer textbook. I have 2 options, they are: 1. https://www.amazon.com/dp/0133521702/?tag=pfamazon01-20 2. https://www.amazon.com/dp/0132788128/?tag=pfamazon01-20 Can someone please tell me which one of above Fluid Mechanics textbook...
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    B What Math Class Teaches us how to Draw a Graph?

    This is the original problem of what I asked: How do I draw the V shear and M moment graph like above?
  9. A

    B What Math Class Teaches us how to Draw a Graph?

    Yes, I learned calculus of differentiation and integration.
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    B What Math Class Teaches us how to Draw a Graph?

    How do you draw the graph of ##y = 9x - \frac{x^3}{9}##? I only know how to draw a graph of quadratic function. This function has a power of 3.
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    B What Math Class Teaches us how to Draw a Graph?

    What math the drawing a graph, for example: y = x^2, is taught? Is it algebra, calculus, or any other else? Thanks
  12. A

    I How Do You Integrate Expressions Like These?

    How do you you integrate expressions like these? 1. ##\frac{1}{\sqrt{x^3 + 3}}## 2. ##\frac{1}{\sqrt{x^4 + 3}}## 3. ##\frac{1}{x \sqrt{x^5 + 3}}## 4. ##\frac{1}{x^2 \sqrt{x^3 + 3}}## 5. ##\frac{1}{x^3 \sqrt{x^3 + 3}}## 6. ##\frac{1}{x^4 \sqrt{x^3 + 3}}## 7. ##\frac{1}{x^5 \sqrt{x^3 + 3}}##...
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    How to Integrate [1/(x^2 + 3)] dx?

    Thank you very much, now I understand. So the final result is ##\frac{\sqrt{3}}{3} \tan^{-1} \left( \frac{\sqrt{3}x}{3} \right) + C##
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    How to Integrate [1/(x^2 + 3)] dx?

    I know, but I am still don't understand what should I do with the theta.
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