Find \int_0^8x \,dx.

Category: QuestionsFind \int_0^8x \,dx.
Editor">Editor Staff asked 11 months ago

Find \int_0^8x \,dx.
(a) 32
(b) 34
(c) 21
(d) 24
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I need to ask this question from Fundamental Theorem of Calculus-1 topic in chapter Integrals of Mathematics – Class 12
NCERT Solutions for Subject Clas 12 Math Select the correct answer from above options 
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1 Answers
Editor">Editor Staff answered 11 months ago

Correct choice is (a) 32
The explanation is: Let I=\int_0^8x \,dx
F(x)=\int x \,dx=\frac{x^2}{2}
Using the second fundamental theorem of calculus, we get
∴\int_0^8x \,dx=\frac{8^2}{2}-0=32