The value of ∫−115 sgn⁡({x})dx where {.} denotes the fractional part function, is

A
8
B
16
C
24
D
0

Solution:

$\begin{array}{l} \int_{- 1}^{15} sgn ({x}) dx = \int_{0}^{16} sgn ({x - 1}) dx (by property) \\ = \int_{0}^{16} sgn ({x}) dx \\ = 16 \int_{0}^{1} sgn ({x}) dx = 16 \int_{0}^{1} sgn (x) dx \\ = 16 \int_{0}^{1} 1 \cdot dx = 16 \end{array}$

Related content

Test your English Vocabulary

CUET Exam Dates 2024 – Application Form, Fees, Eligibility

CBSE Class 12 IP Answer Key 2024,Informatics Practices Paper Solution For SET 1, 2, 3, 4

CUET UG Cut Off 2024, Category, Universities and Colleges Wise Expected Cut Off

Modal Verbs

Helping Verbs

Letter To Your Friend About Your School Trip

Action Verbs

CUET 2024 – List of Colleges and Participating Universities Accepting CUET Exam Score

SRMJEEE Online Test Series – Practice Papers