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Questions (25)

 6 $\frac{(x + \sqrt{x}) - (x-\sqrt{x})}{\sqrt{x+\sqrt{x}}+\sqrt{x-\sqrt{x}}} = \frac{2}{\sqrt{1+\frac{1}{\sqrt{x}}}+\sqrt{1-\frac{1}{\sqrt{x}}}}$? 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 $x \rightarrow 0$?

Reputation (498)

 +5 Primitive function of $x^3 \sin x^2$ +10 Finding $\alpha$ for $\sin(4 \alpha + \frac{\pi}{6}) = \sin (2\alpha + \frac{\pi}{5})$ +5 $\frac{(x + \sqrt{x}) - (x-\sqrt{x})}{\sqrt{x+\sqrt{x}}+\sqrt{x-\sqrt{x}}} = \frac{2}{\sqrt{1+\frac{1}{\sqrt{x}}}+\sqrt{1-\frac{1}{\sqrt{x}}}}$? +5 Choice of numbers in calculating $\lim_{x\rightarrow 0}\frac{e^{2x}-1}{\sin 3x}$

 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

Tags (15)

 13 algebra-precalculus × 19 0 integration × 2 0 calculus × 5 0 limits 0 graphing-functions × 3 0 inequality 0 logarithms × 3 0 definite-integrals 0 trigonometry × 3 0 functions

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