Evaluate the following integrals
Question: Evaluate the following integrals $\int_{0}^{\pi / 2} \frac{d x}{\left(4+9 \cos ^{2} x\right)}$ Solution:...
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Question: Evaluate the following integrals $\int_{0}^{\pi / 2} \frac{d x}{\left(1+\cos ^{2} x\right)}$ Solution:...
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Question: Evaluate the following integrals $\int_{0}^{\pi / 2} \frac{d x}{\left(a^{2} \cos ^{2} x+b^{2} \sin ^{2} x\right)}$ Solution:...
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Question: Evaluate the following integrals $\int_{0}^{\pi / 2} \sqrt{1+\sin x} d x$ Solution:...
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Question: Evaluate the following integrals $\int_{0}^{\pi / 2} \sqrt{1+\cos x} d x$ Solution:...
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Question: Evaluate the following integrals $\int_{0}^{1} \sin ^{-1}\left(\frac{2 x}{1+x^{2}}\right) d x$ Solution:...
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Question: Evaluate the following integrals $\int_{0}^{2} x \sqrt{2-x} d x$ Solution:...
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Question: Evaluate the following integrals $\int_{0}^{a} \frac{x}{\sqrt{a^{2}+x^{2}}} d x$ Solution:...
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Question: Evaluate the following integrals $\int_{0}^{a} \frac{x^{4}}{\sqrt{a^{2}-x^{2}}} d x$ Solution:...
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Question: Evaluate the following integrals $\int_{0}^{\sqrt{2}} \sqrt{2-x^{2}} d x$ Solution:...
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Question: Evaluate the following integrals $\int_{0}^{a} \sqrt{a^{2}-x^{2}} d x$ Solution:...
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Question: Evaluate the following integrals $\int_{0}^{\pi / 2} \frac{\sin x \cos x}{\left(1+\sin ^{4} x\right)} d x$ Solution:...
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Question: Evaluate the following integrals $\int_{0}^{\pi / 2} \sqrt{\sin x} \cdot \cos ^{5} x d x$ Solution:...
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Question: Evaluate the following integrals $\int_{0}^{\pi / 2} \frac{\sin x}{\sqrt{1+\cos x}} d x$ Solution:...
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Question: Evaluate the following integrals $\int_{0}^{1} \frac{\sqrt{\tan ^{-1} x}}{\left(1+x^{2}\right)} d x$ Solution:...
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Question: Evaluate the following integrals $\int_{1 / e}^{e} \frac{d x}{x(\log x)^{1 / 3}}$ Solution:...
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Question: Evaluate the following integrals $\int_{0}^{1} \frac{d x}{\left(e^{x}+e^{-x}\right)}$ Solution:...
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Question: Evaluate the following integrals $\int_{0}^{\pi / 2} \frac{\sin x}{\left(1+\cos ^{2} x\right)} d x$ Solution:...
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Question: Evaluate the following integrals $\int_{0}^{\pi / 6} \frac{\cos x}{(3+4 \sin x)} d x$ Solution:...
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Question: Evaluate the following integrals $\int_{1}^{2} \frac{e^{1 / x}}{x^{2}} d x$ Solution:...
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Question: Evaluate the following integrals $\int_{0}^{1} x e^{x^{2}} d x$ Solution:...
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Question: Evaluate the following integrals $\int_{0}^{1} \frac{2 x}{\left(1+x^{4}\right)} d x$ Solution:...
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Question: Evaluate the following integrals $\int_{0}^{1} \frac{e^{x}}{1+e^{2 x}} d x$ Solution:...
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Question: Evaluate the following integrals $\int_{0}^{1} \frac{\tan ^{-1} x}{\left(1+x^{2}\right)} d x$ Solution:...
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Question: Evaluate the following integrals $\int_{1}^{2} \frac{3 x}{\left(9 x^{2}-1\right)} d x$ Solution:...
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