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Karnataka Board PUCPUC Science 2nd PUC Class 12

PUC Science 2nd PUC Class 12 - Karnataka Board PUC Question Bank Solutions for Mathematics

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Mathematics
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\[\int e^x \left[ \sec x + \log \left( \sec x + \tan x \right) \right] dx\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int e^x \left( \cot x + \log \sin x \right) dx\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined

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\[\int e^x \frac{x - 1}{\left( x + 1 \right)^3} \text{ dx }\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int e^x \left( \frac{\sin 4x - 4}{1 - \cos 4x} \right) dx\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int e^x \frac{\left( 1 - x \right)^2}{\left( 1 + x^2 \right)^2} \text{ dx }\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int e^x \frac{1 + x}{\left( 2 + x \right)^2} \text{ dx }\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int\frac{\sqrt{1 - \sin x}}{1 + \cos x} e^{- x/2}  \text{ dx }\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int e^x \left( \log x + \frac{1}{x} \right) dx\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int e^x \left( \log x + \frac{1}{x^2} \right) dx\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int\frac{e^x}{x}\left\{ \text{ x }\left( \log x \right)^2 + 2 \log x \right\} dx\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int e^x \cdot \frac{\sqrt{1 - x^2} \sin^{- 1} x + 1}{\sqrt{1 - x^2}} \text{ dx }\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
∴\[\int e^{2x} \left( - \sin x + 2 \cos x \right) dx\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int\left( \frac{1}{\log x} - \frac{1}{\left( \log x \right)^2} \right) dx\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int e^x \left( \frac{\sin x \cos x - 1}{\sin^2 x} \right) dx\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int\left\{ \tan \left( \log x \right) + \sec^2 \left( \log x \right) \right\} dx\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int\frac{e^x \left( x - 4 \right)}{\left( x - 2 \right)^3} \text{ dx }\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int\sqrt{3 - 2x - 2 x^2} \text{ dx}\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int x\sqrt{x^4 + 1} \text{ dx}\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int x^2 \sqrt{a^6 - x^6} \text{ dx}\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int\frac{\sqrt{16 + \left( \log x \right)^2}}{x} \text{ dx}\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
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