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- Easy way to compute logarithms without a calculator?
I would need to be able to compute logarithms without using a calculator, just on paper The result should be a fraction so it is the most accurate For example I have seen this in math class calc
- calculus - How to evaluate the limit where something is raised to a . . .
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- Definite integrals solvable using the Feynman Trick
In case you are already familiar with Feynman's trick or prefer to evaluate some integrals directly, here is a brief list:
- Evaluate $\\int \\frac{\\sec(11 x) \\tan(11 x)}{\\sqrt{\\sec(11 x . . .
Evaluate the indefinite integral: $$\int \frac{\sec(11 x) \tan(11 x)}{\sqrt{\sec(11 x)}} \,\mathrm dx$$ (using substitution) The answer is: $\frac{2}{11} \sqrt{\sec
- numerical methods - The mid-point rule as a function in matlab . . .
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- Integral $\\int_{-1}^1\\frac1x\\sqrt{\\frac{1+x}{1-x}}\\ln\\left(\\frac . . .
$\begingroup$ In the meantime, I have been able to manipulate the integral into the following form: $$8 \int_0^{\infty} du \frac{(u^2-1)(u^4-6 u^2+1)}{u^8+4 u^6+70 u^4+4 u^2+1} \log{u}$$ from which I may deduce that there is in fact a closed form (because the roots of the denominator are expressible in closed form, a little messy but not bad)
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