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CBSE Class 12 · 2020 · Definite IntegralsMultiple Choice

\int_{- \frac{π}{4}}^{\frac{π}{4}} sec^{2} x d x

:

(A) $- 1$
(B) $0$
(C) $1$
(D) $2$ ✓ Correct

Answer: (D)

Solution

\int_{- π /4}^{π /4} sec^{2} x d x = [tan x]_{- π /4}^{π /4} = tan \frac{π}{4} - tan (- \frac{π}{4}) = 1 - (- 1) = 2

Correct option: (D)

2

.

CBSE Class 12 Board · 2020 · Single correct option

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