Question 34
IntegrationEvaluate ∫0π/4 (sin x − cos x) dx.
- A.√2 + 1
- B.√2 − 1
- C.−√2 − 1
- D.1 − √2
Show the answer and explanation
Answer: D (1 − √2)
Explanation
The integral is [−cos x − sin x] from 0 to π/4 = (−√2/2 − √2/2) − (−1) = 1 − √2.
Evaluate ∫0π/4 (sin x − cos x) dx.
Answer: D (1 − √2)
The integral is [−cos x − sin x] from 0 to π/4 = (−√2/2 − √2/2) − (−1) = 1 − √2.