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Mathematics
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Lyrebird's user avatar
Lyrebird's user avatar
Lyrebird
  • Member for 13 years, 4 months
  • Last seen more than 12 years ago
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34
On calculating $\int_0^1\ln(1-x^2)\;{\mathrm dx}$ -- where is the mistake?
Mar 16, 2011
26
If $\alpha$ is an acute angle, show that $\int_0^1 \frac{dx}{x^2+2x\cos{\alpha}+1} = \frac{\alpha}{2\sin{\alpha}}.$
Apr 14, 2011
12
When a change of variable results in equal limits of integration
May 6, 2011
10
Necessary and sufficient condition for the coefficients of a quartic
Jun 17, 2011
8
Solving $\displaystyle \cos(x-\alpha)\cos(x-\beta) = \cos{\alpha}\cos{\beta}+\sin^2{x}$
Mar 12, 2011
5
Finding power series representation of $ \int_0^{\frac{\pi }{2}} \frac{1}{\sqrt {1 - k^2\sin^2{x}}}\;{dx}$
Jun 10, 2011
4
Finding the sum of a series
May 10, 2011
1
Integration of $\cos(2x)\cos(nx)$
May 6, 2011
1
Integrating $ \frac{1}{\mathrm{e}^{2\, t}\, \left(\mathrm{e}^{t} + 1\right)} $
May 31, 2011
0
Need help in Taylor series expansion
Jul 10, 2011