Quispiam

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25 Questions

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5	$\frac{(x + \sqrt{x}) - (x-\sqrt{x})}{\sqrt{x+\sqrt{x}}+\sqrt{x-\sqrt{x}}} = \frac{2}{\sqrt{1+\frac{1}{\sqrt{x}}}+\sqrt{1-\frac{1}{\sqrt{x}}}}$?
4	Compute integral $\int_{-6}^6 \! \frac{(4e^{2x} + 2)^2}{e^{2x}} \, \mathrm{d} x$
4	Calculating maximum of function
3	How come $\int_{-\infty}^\infty \! e^{-\|t\|} \, \mathrm{d} t = 2\int_{0}^\infty \! e^{-\|t\|} \, \mathrm{d} t$?
3	What is the limit of $\frac{e^{6x}-2e^{3x} + 1}{x^2}$, as $x \rightarrow 0$?

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478 Reputation

+5	Choice of numbers in calculating $\lim_{x\rightarrow 0}\frac{e^{2x}-1}{\sin 3x}$
+5	Primitive function of $x^3 \sin x^2$
+25	$\frac{(x + \sqrt{x}) - (x-\sqrt{x})}{\sqrt{x+\sqrt{x}}+\sqrt{x-\sqrt{x}}} = \frac{2}{\sqrt{1+\frac{1}{\sqrt{x}}}+\sqrt{1-\frac{1}{\sqrt{x}}}}$?
+5	How come $\int_{-\infty}^\infty \! e^{-\|t\|} \, \mathrm{d} t = 2\int_{0}^\infty \! e^{-\|t\|} \, \mathrm{d} t$?

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3 Answers

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7	Why is $\frac{(x-1)+2}{(x-1)(x+1)} = \frac{1}{x-1}$?
6	What is the limit of $\frac{e^{6x}-2e^{3x} + 1}{x^2}$, as $x \rightarrow 0$?
0	Finding correlation in plotted graph

17 Tags

13 algebra-precalculus × 19	0 integration × 2
0 calculus × 5	0 polynomials
0 trigonometry × 3	0 quadratics
0 logarithms × 3	0 inequality
0 graphing-functions × 3	0 absolute-value

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