{4-x² - NCERT Class XII Mathematics Chapter - - Solutions

NCERT Class XII Mathematics Chapter - - Solutions

Exercise - 7.7
Integrate the functions in Exercises 158 to 166.

Question : 158 of 271

Marks: +1, -0

\sqrt{4-x^2}

Solution:

Let

I=\int\sqrt{4-x^2}dx

=\int\sqrt{2^2-x^2}dx

\left[\frac{x}{2}\sqrt{2^2-x^2}+\frac{4}{2}\sin^{-1}\left(\frac{x}{2}\right)\right]+C

=\frac{x\sqrt{4-x^2}}{2}+2\sin^{-1}\left(\frac{x}{2}\right)+C

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