Let \( f: R \rightarrow R \) and \( g: R \rightarrow R \) be contin...

Channel:
PW Solutions
Subscribers:
447,000
Published on ● Video Link: https://www.youtube.com/watch?v=bCm-pF1OnDA


Duration: 3:16
2 views
0

Let \( f: R \rightarrow R \) and \( g: R \rightarrow R \) be continuous functions.
Then, the value of the integral
P \( \int_{-\pi / 2}^{\pi / 2}[f(x)+f(-x)][g(x)-g(-x)] d x \) is \( \quad(1990,2 \mathrm{M}) \)

VW
(a) \( \pi \)
(b) 1
(c) \( -1 \)
šŸ“²PW App Link - https://bit.ly/YTAI_PWAP
šŸŒPW Website - https://www.pw.live



Other Videos By PW Solutions


2023-02-13Co-ordination number of aluminum is (a) 8 (b) 6 (c) 12 (d) 4 (P)
2023-02-13A charge \( Q \) is distributed over two concentric hollow spheres ...
2023-02-13One gas bleaches the colour of flowers by reduction and other by ox...
2023-02-13The basal metabolic rate (BMR) in body cells is \( \mathrm{P} \) re...
2023-02-13Oxidation number of \( \mathrm{Fe} \) in violet coloured complex \(...
2023-02-13A parallel-plate air capacitor has a plate area of \( 100 \mathrm{~...
2023-02-13The value of the integral \( \int_{0}^{\pi / 2} \frac{\sqrt{\cot x}...
2023-02-13Largest endocrine gland is - (1) Adrenal gland (2) Thyroid gland \(...
2023-02-13Which of the following statement (s) is/are correct? (A) \( \mathrm{S}_{2} \mathrm{O}_{8}{ }^{2-...
2023-02-13A particle of mass \( 100 \mathrm{gm} \) and charge \( 2 \mu \mathr...
2023-02-13Let \( f: R \rightarrow R \) and \( g: R \rightarrow R \) be contin...
2023-02-13A parallel-plate air capacitor has a plate area of \( 100 \mathrm{~...
2023-02-13Supposing that the earth has a surface charge density of 1 electron...
2023-02-13Which of the following does not liberate \( \mathrm{Br}_{2} \) from...
2023-02-13Supposing that the earth has a surface charge density of \( 1 \math...
2023-02-13Gonadotropic hormones are: \( \mathrm{P} \) (1) Estrogen and proges...
2023-02-13Thyrotropin - releasing factor (TRF) is produced by (1) Cerebrum (2...
2023-02-13In absence of \( \mathrm{ADH} \), the disease caused is - (1) Diabe...
2023-02-13Acromegaly is a disease caused by: (1) Over secretion of growth hor...
2023-02-13Two dice are thrown. The events \( \mathrm{A}, \mathrm{B} \) and \(...
2023-02-13In the reaction : \( 3 \mathrm{Br}_{2}+6 \mathrm{OH}^{-} \longright...


Tags:
pw