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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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\[\int\frac{1}{\cos 3x - \cos x} dx\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int\frac{e^x}{\left( 1 + e^x \right)^2} dx\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined

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 ` ∫       cot^3   x  "cosec"^2   x   dx `

[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined

\[\int\frac{\left\{ e^{\sin^{- 1} }x \right\}^2}{\sqrt{1 - x^2}} dx\]

[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int\frac{1 + \sin x}{\sqrt{x - \cos x}} dx\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined

\[\int\frac{1}{\sqrt{1 - x^2} \left( \sin^{- 1} x \right)^2} dx\]

[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined

\[\int\frac{\cot x}{\sqrt{\sin x}} dx\]

[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int\frac{x^3}{\left( x^2 + 1 \right)^3} dx\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
 `   ∫     tan x    .  sec^2 x   \sqrt{1 - tan^2 x}     dx\ `
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined

Evaluate the following integrals:

\[\int\frac{\sqrt{1 + x^2}}{x^4}dx\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined

Evaluate the following integrals:

\[\int\frac{1}{\left( x^2 + 2x + 10 \right)^2}dx\]

 

[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
`  ∫    {1} / {cos x  + "cosec x" } dx  `
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined

Evaluate the following integrals:

\[\int\frac{5x - 2}{1 + 2x + 3 x^2} \text{ dx }\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int\frac{x + 5}{3 x^2 + 13x - 10}\text{ dx }\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int\frac{x^3 - 3x}{x^4 + 2 x^2 - 4}dx\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined

Evaluate the following integrals: 

\[\int\frac{x + 2}{\sqrt{x^2 + 2x + 3}} \text{ dx }\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int\frac{1}{\sin x + \cos x} \text{ dx }\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int\frac{1}{5 - 4 \cos x} \text{ dx }\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined

Evaluate the following integrals:

\[\int\frac{x \cos^{- 1} x}{\sqrt{1 - x^2}}dx\]

 

[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined

Evaluate the following integrals:

\[\int\frac{\log x}{\left( x + 1 \right)^2}dx\]

 

[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
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