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CBSE Class 12 · 2009 · Indefinite IntegralsVery Short Answer

Evaluate :

\int sec^{2} (7 - x) d x

Answer: $- tan (7 - x) + C$

Solution

Using

\int sec^{2} (a x + b) d x = \frac{1}{a} tan (a x + b) + C

with

a = - 1

:

\int sec^{2} (7 - x) d x = \frac{tan ( 7 - x )}{- 1} + C .

- tan (7 - x) + C

CBSE Class 12 Board · 2009 · Subjective

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