kalpeshmpopat

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	location	Rajkot, India
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I M a Mathematics Lecturer In MCA College In Rajkot

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46 Questions

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13	Examples of nonabelian groups.
11	Calculate:$y'$ for $y = x^{x^{x^{x^{x^{.^{.^{.^{\infty}}}}}}}}$ and $y = \sqrt{x+\sqrt{x+\sqrt{x+\sqrt{x+…\infty}}}}$
7	If $f(x) = e^{-x}+2e^{-2x}+3e^{-3x}+\cdots$ then find $\int_{\ln2}^{\ln3}f(x)dx$
6	Show that $\frac{\sin x}{\cos 3x}+\frac{\sin 3x}{\cos 9x}+\frac{\sin 9x}{\cos 27x} = \frac{1}{2}\left(\tan 27x-\tan x\right)$
6	Prove: $\int_{0}^{\pi}\frac{x\tan x}{\sec x+\cos x}dx = \frac{\pi^{2}}{4}$

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942 Reputation

+10	Infinite powering by $ i$
+10	Evaluating $\int \frac{1}{{x^4+1}} dx$
+8	Evaluating $\int \frac{1}{{x^4+1}} dx$
+5	Related To Polynomial Division

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24 Answers

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4	Infinite powering by $ i$
3	Calculating $\lim_{x \rightarrow 1}(\frac{23}{1-x^{23}} - \frac{31}{1-x^{31}})$
3	How to evaluate $I=\displaystyle\int_0^{\pi/2}x^2\ln(\sin x)\ln(\cos x)dx$
2	Need help with matrix multiplication: $ (aI + bJ)(cI + dJ) $.
1	Prove that if $A \mathop \triangle B \subseteq A$ then $B\subseteq A$

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35 Tags

8 calculus × 27	2 integral × 16
8 limit × 16	2 matrices
6 complex-numbers × 2	1 abstract-algebra × 9
3 homework × 6	1 group-theory × 9
3 linear-algebra × 2	1 differential-equations × 4

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