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Class 12 QAD
QAD

Differentiate $y = \frac{{x\sqrt {{a^2} - {x^2}} }}{2} + \frac{{{a^2}}}{2}{\sin ^{ - 1}}\frac{x}{a}$ with respect to x, Integrate the result so obtained. Compare the two results and draw conclusion from your results.

Differentiate $y = \frac{{x\sqrt {{a^2} - {x^2}} }}{2} + \frac{{{a^2}}}{2}{\sin ^{ - 1}}\frac{x}{a}$ with respect to x, Integrate the result so obtained. Compare the two results and draw conclusion from your results.
Solution:
Differentiate $y = \frac{{x\sqrt {{a^2} - {x^2}} }}{2} + \frac{{{a^2}}}{2}{\sin ^{ - 1}}\frac{x}{a}$ with respect to x, Integrate the result so obtained. Compare the two results and draw conclusion from your results.

Differentiate $y = \frac{{x\sqrt {{a^2} - {x^2}} }}{2} + \frac{{{a^2}}}{2}{\sin ^{ - 1}}\frac{x}{a}$ with respect to x, Integrate the result so obtained. Compare the two results and draw conclusion from your results.
Differentiate $y = \frac{{x\sqrt {{a^2} - {x^2}} }}{2} + \frac{{{a^2}}}{2}{\sin ^{ - 1}}\frac{x}{a}$ with respect to x, Integrate the result so obtained. Compare the two results and draw conclusion from your results.


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