Evaluate \int_0^{\pi }sin⁡x dx.

Category: QuestionsEvaluate \int_0^{\pi }sin⁡x dx.
Editor">Editor Staff asked 11 months ago

Evaluate \int_0^{\pi }sin⁡x dx.
 
(a) 2
 
(b) 6
 
(c) 17
 
(d) 3
 
I got this question during an interview.
 
I’d like to ask this question from Definite Integral in division Integrals of Mathematics – Class 12
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1 Answers
Editor">Editor Staff answered 11 months ago

Correct answer is (a) 2
 
The best explanation: \int_0^{\pi }sin⁡x dx = [- cos x]^x0
 
= – cos π – (-cos 0)
 
= -(-1)-(-1)
 
= 2