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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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\[\int\limits_{- \pi/4}^{\pi/4} \frac{1}{1 + \sin x} dx\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int\limits_0^{\pi/2} \cos^2 x\ dx\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined

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\[\int\limits_0^{\pi/2} \cos^3 x\ dx\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int\limits_0^{\pi/6} \cos x \cos 2x\ dx\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int\limits_0^{\pi/2} \sin x \sin 2x\ dx\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int\limits_{\pi/3}^{\pi/4} \left( \tan x + \cot x \right)^2 dx\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int\limits_0^{\pi/2} \cos^4\ x\ dx\]

 

[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int\limits_0^{\pi/2} \left( a^2 \cos^2 x + b^2 \sin^2 x \right) dx\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int\limits_0^{\pi/2} \sqrt{1 + \sin x}\ dx\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int\limits_0^{\pi/2} \sqrt{1 + \sin x}\ dx\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int\limits_0^{\pi/2} \sqrt{1 + \cos x}\ dx\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined

Evaluate the following definite integrals:

\[\int_0^\frac{\pi}{2} x^2 \sin\ x\ dx\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int\limits_0^{\pi/2} x \cos\ x\ dx\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int\limits_0^{\pi/2} x^2 \cos\ x\ dx\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int\limits_0^{\pi/4} x^2 \sin\ x\ dx\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int\limits_0^{\pi/2} x^2 \cos\ 2x\ dx\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int\limits_0^{\pi/2} x^2 \cos^2 x\ dx\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int\limits_1^2 \log\ x\ dx\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int\limits_1^3 \frac{\log x}{\left( x + 1 \right)^2} dx\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int\limits_1^e \frac{e^x}{x} \left( 1 + x \log x \right) dx\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
< prev  5201 to 5220 of 8199  next > 
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