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Question: Evaluate the following integrals $\int_{0}^{1} \frac{2 x}{\left(1+x^{2}\right)} d x$ Solution:...
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Question: Evaluate the following integrals $\int_{0}^{1} \frac{\mathrm{dx}}{(2 \mathrm{x}-3)}$ Solution:...
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Question: Evaluate: $\int_{1}^{2} \frac{5 x^{2}}{\left(x^{2}+4 x+3\right)} d x$ Solution:...
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Question: Evaluate: $\int_{0}^{\pi / 2} 2 \tan ^{3} x d x$ Solution:...
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Question: Evaluate: $\int_{0}^{1} \frac{x e^{x}}{(1+x)^{2}} d x$ Solution:...
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Question: Evaluate: $\int_{1}^{e} e^{x}\left(\frac{1+x \log x}{x}\right) d x$ Solution:...
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Question: Evaluate: $\int_{0}^{e^{2}}\left\{\frac{1}{(\log x)}-\frac{1}{(\log x)^{2}}\right\} d x$ Solution:...
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Question: Evaluate: $\int_{1}^{3} \frac{\log x}{(1+x)^{2}} d x$ Solution:...
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Question: Evaluate: $\int_{0}^{\pi / 2} x^{2} \cos ^{2} x d x$ Solution:...
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Question: Evaluate: $\int_{0}^{\pi / 2} x^{3} \sin 3 x d x$ Solution:...
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Question: Evaluate: $\int_{0}^{\pi / 2} x^{2} \cos 2 x d x$ Solution:...
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Question: Evaluate: $\int_{0}^{\pi / 4} x^{2} \sin x d x$ Solution:...
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Question: Evaluate: $\int_{0}^{\pi / 2} x^{2} \cos x d x$ Solution:...
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Question: Evaluate: $\int_{1}^{2} \frac{d x}{x(1+2 x)^{2}}$ Solution:...
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Question: Evaluate: $\int_{1}^{3} \frac{d x}{x^{2}(x+1)}$ Solution:...
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Question: Evaluate: $\int_{1 / 4}^{1 / 2} \frac{d x}{\sqrt{x-x^{2}}}$ Solution:...
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Question: Evaluate: $\int_{0}^{a} \frac{d x}{\left(a x+a^{2}-x^{2}\right)}$ Solution:...
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Question: Evaluate: $\int_{0}^{\pi / 2} \cos ^{4} x d x$ Solution:...
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Question: Evaluate: $\int_{\pi / 3}^{\pi / 4}(\tan x+\cot x)^{2} d x$ Solution:...
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Question: Evaluate: $\int_{0}^{\pi / 2}\left(a \cos ^{2} x+b \sin ^{2} x\right) d x$ Solution:...
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Question: Evaluate: $\int_{0}^{1} \frac{d x}{\left(1+x+2 x^{2}\right)}$ Solution:...
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Question: Evaluate: $\int_{1}^{2} \frac{d x}{\sqrt{x^{2}+4 x+3}}$ Solution:...
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