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INTEGRALS — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsINTEGRALS1 Mark
Question
Evaluate $\int\frac{1-\sin\text{x}}{\cos^2\text{x}}\text{ dx}$
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Answer

Let $\text{I}=\int\frac{1-\sin\text{x}}{\cos^2\text{x}}\text{ dx}$
$=\int\sec^2\text{x dx}-\int\sec\text{x}\tan\text{x dx}$
$\text{I}=\tan\text{x}-\sec\text{x}+\text{C}$

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