dx/² x ² x equals - NCERT Class XII Mathematics Chapter -

NCERT Class XII Mathematics Chapter - - Solutions

Choose the correct answer in Exercises 60 and 61.

Question : 61 of 271

Marks: +1, -0

\int \frac{dx}{\sin^2 x \cos^2 x}

equals

Solution:

Let

I=\int \frac{dx}{\sin^2 x \cos^2 x}

=\frac{\sin^2 x + \cos^2 x}{\sin^2 x \cos^2 x}dx

=\int(\sec^2 x + \csc^2 x)dx

=\tan x - \cot x + C

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