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NCERT Class XII Mathematics Chapter - - Solutions

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Choose the correct answer in Exercises 84 and 85.
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Question : 84 of 271
Marks: +1, -0
∫sin⁡2x−cos⁡xsin⁡2xcos⁡x\int\frac{\sin^2x-\cos^{x}}{\sin^2x\cos^{x}} is equal to
Solution:  
Let I=∫sin⁡2x−cos⁡xsin⁡2xcos⁡xdxI=\int\frac{\sin^2x-\cos^{x}}{\sin^2x\cos^{x}}dx
=∫(sec⁡2x−csc⁡2x)dx=\int(\sec^2x-\csc^2x)dx =tan⁡x+cot⁡x+C=\tan x+\cot x+C
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