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Karnataka Board PUCPUC Science 2nd PUC Class 12

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

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`∫     cos ^4  2x   dx `

[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int \sin^2\text{ b x dx}\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined

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\[\int \sin^2 \frac{x}{2} dx\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int \cos^2 \frac{x}{2} dx\]

 

[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int \cos^2 \text{nx dx}\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined

` ∫   sin x  \sqrt (1-cos 2x)    dx `

 

[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
`  ∫  sin 4x cos  7x  dx  `
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
` ∫   cos  3x   cos  4x` dx  
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
` ∫    cos  mx  cos  nx  dx `

 

[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int\text{sin mx }\text{cos nx dx m }\neq n\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined

Integrate the following integrals:

\[\int\text{sin 2x  sin 4x    sin 6x  dx} \]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined

Integrate the following integrals:

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