First slide

Evaluation of definite integrals

Question

$100 \int_{0}^{1} {x} dx$ where {x } denotes the fraction part of x.

Moderate

A

100
B

25
C

75
D

50

Solution

$\begin{aligned} 100 \int_{0}^{1} {x} dx = 100 \int_{0}^{1} {x} dx \\ = \frac{100}{2} {[x^{2}]}_{0}^{1} = 50 \end{aligned}$

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