1.

Find \(\int_0^{\frac{π}{2}} \,5 \,sin⁡x \,dx\).(a) -5(b) 9(c) 5(d) -9I have been asked this question during an online interview.The above asked question is from Fundamental Theorem of Calculus-1 topic in chapter Integrals of Mathematics – Class 12

Answer»

The correct answer is (c) 5

The best explanation: LET \(I=\int_0^{\frac{π}{2}} \,5 \,sin⁡X \,DX\)

F(x)=\(\int5 \,sin⁡x \,dx=-5 \,cos⁡x\)

Applying the limits by using the fundamental THEOREM of calculus, we get

I=F(\(\frac{π}{2}\))-F(0)

∴\(\int_0^{\frac{π}{2}} \,5 \,sin⁡x \,dx=-5[cos⁡\frac{π}{2}-cos⁡0]\)

=-5[0-1]=5


Discussion

No Comment Found

Related InterviewSolutions