CBSE Class 12 · 2012 · Definite IntegralsVery Short Answer

More board questions on Definite Integrals

1. The value of ${\int }_{\pi /4}^{\pi /2}\cot \theta {\mathrm{cosec}}^2\theta d\theta$ is
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2. Evaluate: ${\int }_0^{\pi }\frac{e^{\cos x}}{e^{\cos x}+e^{-\cos x}}dx$
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3. Evaluate ${\int }_{\log \sqrt{2}}^{\log \sqrt{3}}\frac{1}{\left(e^x+e^{-x}\right)\left(e^x-e^{-x}\right)}dx$
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4. Evaluate ${\int }_{-1}^1\left|x^4-x\right|dx$
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5. Evaluate ${\int }_0^{\pi /2}\frac{1}{1+(\tan x{)}^{2/3}}dx$
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6. ${\int }_{-\frac{\pi }{4}}^{\frac{\pi }{4}}{\sec }^{2}xdx$ :
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