Evaluate the following integrals:
Question: Evaluate the following integrals: $\int\left\{\log (\log x)+\frac{1}{(\log x)^{2}}\right\} d x$ Solution:...
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Question: Evaluate the following integrals: $\int\left\{\frac{1}{\log x}-\frac{1}{(\log x)^{2}}\right\} d x$ Solution:...
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Question: Evaluate the following integrals: $\int\{\sin (\log x)+\cos (\log x)\} d x$ Solution:...
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Question: Evaluate the following integrals: $\int \frac{\log x}{(1+\log x)^{2}} d x$ Solution:...
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Question: Evaluate the following integrals: $\int e^{x}\left(\log x+\frac{1}{x^{2}}\right) d x$ Solution:...
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Question: Evaluate the following integrals: $\int e^{2 x}\left(\frac{2 x-1}{4 x^{2}}\right) d x$ Solution:...
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Question: Evaluate the following integrals: $\int \frac{x e^{2 x}}{(1+2 x)^{2}} d x$ Solution:...
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Question: Evaluate the following integrals: $\int \frac{(x+1)}{(x+2)^{2}} e^{x} d x$ Solution:...
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Question: Evaluate the following integrals: $\int e^{3 x}\left(\frac{3 x-1}{9 x^{2}}\right) d x$ Solution:...
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Question: Evaluate the following integrals: $\int e^{x} \cdot \frac{(x-3)}{(x-1)^{3}} d x$ Solution:...
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Question: Evaluate the following integrals: $\int e^{x} \frac{(2-x)}{(1-x)^{2}} d x$ Solution:...
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Question: Evaluate the following integrals: $\int e^{x} \frac{(x-1)}{(x+1)^{3}} d x$ Solution:...
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Question: Evaluate the following integrals: $\int e^{x} \cdot \frac{x}{(1+x)^{2}} d x$ Solution:...
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Question: Evaluate the following integrals: $\int e^{x}\left(\frac{1+x \log x}{x}\right) d x$ Solution:...
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Question: Evaluate the following integrals: $\int \frac{e^{x}\left[\sqrt{1-x^{2}} \sin ^{-1} x+1\right]}{\sqrt{1-x^{2}}} d x$ Solution:...
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Question: Evaluate the following integrals: $\int e^{x}\left(\frac{\sin 4 x-4}{1-\cos 4 x}\right) d x$ Solution:...
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Question: Evaluate the following integrals: $\int e^{x}\left(\frac{1+\sin x}{1+\cos x}\right) d x$ Solution:...
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Question: Evaluate the following integrals: $\int \mathrm{e}^{\mathrm{x}}\left(\frac{2-\sin 2 \mathrm{x}}{1-\cos 2 \mathrm{x}}\right) \mathrm{dx}$ Solution:...
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Question: Evaluate the following integrals: $\int e^{x}\left(\frac{\cos x+\sin x}{\cos ^{2} x}\right) d x$ Solution:...
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Question: Evaluate the following integrals: $\int e^{x}\left(\frac{\sin x \cos x-1}{\sin ^{2} x}\right) d x$ Solution:...
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Question: Evaluate the following integrals: $\int e^{x}\left(\frac{1+\sin x \cos x}{\cos ^{2} x}\right) d x$ Solution:...
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Question: Evaluate the following integrals: $\int e^{x}[\sec x+\log (\sec x+\tan x)] d x$ Solution:...
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Question: Evaluate the following integrals: $\int e^{x}(\tan x-\log \cos x) d x$ Solution:...
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Question: Evaluate the following integrals: $\int e^{x}(\cot x+\log \sin x) d x$ Solution:...
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Question: Evaluate the following integrals: $\int e^{x}\left(\tan ^{-1} x+\frac{1}{1+x^{2}}\right) d x$ Solution:...
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