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Integrals — MATHS STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 ScienceMATHSIntegrals2 Marks
Question
Integrate the function: $\sec^2 (7 – 4x)$
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Answer

Let $7 – 4x = t$
$\Rightarrow -4dx = dt$
$\Rightarrow \int \sec ^{2}(7-4 x) d x=\frac{-1}{4} \int \sec ^{2} t d t$ 
$\Rightarrow \frac{-1}{4}(\tan t)+C$ 
$\Rightarrow \frac{-1}{4} \tan (7-4 x)+C$

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