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  1. What is the integral of 1/x? - Mathematics Stack Exchange

    Jan 20, 2021 · Answers to the question of the integral of 1 x 1 x are all based on an implicit assumption that the upper and lower limits of the integral are both positive real numbers.

  2. calculus - Is there really no way to integrate $e^ {-x^2 ...

    This is from -infinity to infinity. If the function can be integrated within these bounds, I'm unsure why it can't be integrated with respect to (a, b) (a, b). Is there really no way to find the integral …

  3. LIATE : How does it work? - Mathematics Stack Exchange

    However, you may not be able to solve the new integral of vdu v d u, because it may become even worse! This is why LIATE is a good general rule, its purpose is make this new integral …

  4. calculus - Is intergration and an integral the same thing ...

    Aug 20, 2014 · The integral is also known (less commonly) as the anti-derivative, because integration is the inverse of differentiation (loosely speaking). Integrals are indefinite when …

  5. Integral $\\int \\sqrt{1+x^2}dx$ - Mathematics Stack Exchange

    Feb 21, 2018 · I was trying to do this integral $$\int \sqrt {1+x^2}dx$$ I saw this question and its' use of hyperbolic functions. I did it with binomial differential method since the given integral is …

  6. solving the integral of $e^{x^2}$ - Mathematics Stack Exchange

    The integral which you describe has no closed form which is to say that it cannot be expressed in elementary functions. For example, you can express ∫x2dx ∫ x 2 d x in elementary functions …

  7. Calculus proof for the area of a circle

    Aug 28, 2012 · 0 the integral of r (d (theta)) from 0 to 2π is 2πr (the circumference of a circle with radius r), now integrate 2πr (dr) from 0 to r and the answer is πr^2 (the area of a circle of …

  8. How do I integrate $\\sec(x)$? - Mathematics Stack Exchange

    Sep 27, 2013 · My HW asks me to integrate $\\sin(x)$, $\\cos(x)$, $\\tan(x)$, but when I get to $\\sec(x)$, I'm stuck.

  9. Looking for a proof of Cleo's result for ${\\large\\int}_0^\\infty ...

    May 28, 2015 · where Ei is the exponential integral: Ei(x) = − ∫∞ − xe − t t dt. The result confirms numerically with at least 1000 decimal digits of precision. How can we prove this result?

  10. What does integration do? - Mathematics Stack Exchange

    The word "integral" is used in two completely different senses. The first, called definite integral, has a simple geometric (or physical) interpretation, the second, called indefinite integral, is …

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