TenaliRaman
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 17 $\int_{0}^{\infty} \frac{e^{-x} \sin(x)}{x} dx$ Evaluate Integral 13 show that $\int_{0}^{\infty} \frac {\sin^3(x)}{x^3}dx=\frac{3\pi}{8}$ 13 What does a space mean? 10 What is a good book to study linear algebra? 8 Calculate: $\sum_{k=0}^{n-2} 2^{k} \tan \left(\frac{\pi}{2^{n-k}}\right)$

### Reputation (2,481)

 +35 Solve for $x$ using the lambert W function $\frac{\ln(1+bx)}{x} = a$ +10 Mutual Information Always Non-negative +40 Evaluate $\int_{0}^{\frac{\pi}{2}} \frac{1}{4\cos^{2}x + 9\sin^{2}x} dx$ +10 Intuition behind logarithm inequality: $1 - \frac1x \leq \log x \leq x-1$

### Questions (5)

 2 Positive Semi Definite Matrix 1 Subspace of a Hilbert Space 0 Orthogonality of stochastic matrix 0 What is a set function that returns another set of points called? 0 Orthogonality of mean with the points

### Tags (60)

 64 integration × 14 17 sequences-and-series × 3 51 calculus × 12 17 improper-integrals 34 trigonometry × 10 13 terminology × 2 24 limits × 4 13 fourier-analysis 20 inequality × 10 13 contour-integration

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