##
Evaluate ∫
^{
π/2
}
_{
π/2
}
x
^{
2
}
sin x dx

Last updated at Oct. 26, 2020 by Teachoo

Transcript

Question 7 (Choice 2) Evaluate ∫_((−𝜋)/2)^(𝜋/2)▒〖𝑥2 sin〖𝑥 𝑑𝑥〗 〗 This is of form ∫_(−𝑎)^𝑎▒𝑓(𝑥)𝑑𝑥 𝑓(𝑥)=𝑥^2 𝑠𝑖𝑛𝑥 𝑓(−𝑥)=(−𝑥)^2 𝑠𝑖𝑛(−𝑥)=𝑥^2 (−sin𝑥 )=−𝑥^2 sin𝑥 Thus, 𝑓(−𝑥) =−𝑓(𝑥) ∴ ∫_((−𝝅)/𝟐)^(𝝅/𝟐)▒〖𝒙𝟐 𝒔𝒊𝒏〖𝒙 𝒅𝒙〗 〗=𝟎 Using the Property : ∫_(−𝑎)^𝑎▒〖𝑓(𝑥)𝑑𝑥=0,〗 if f(−𝑥)=−𝑓(𝑥)

CBSE Class 12 Sample Paper for 2021 Boards

Question 1 (Choice 1)

Question 1 (Choice 2) Important

Question 2

Question 3 (Choice 1) Important

Question 3 (Choice 2) Important

Question 4

Question 5 – Choice 1

Question 5 (Choice 2)

Question 6 Important

Question 7 (Choice 1)

Question 7 (Choice 2) You are here

Question 8

Question 9 (Choice 1) Important

Question 9 (Choice 2)

Question 10 Important

Question 11

Question 12 Important

Question 13

Question 14

Question 15 Important

Question 16

Question 17 Important

Question 18 Important

Question 19 Important

Question 20 (Choice 1)

Question 20 (Choice 2)

Question 21

Question 22 Important

Question 23 (Choice 1)

Question 23 (Choice 2)

Question 24

Question 25

Question 26 Important

Question 27 Important

Question 28 (Choice 1)

Question 28 (Choice 2) Important

Question 29

Question 30

Question 31 (Choice 1)

Question 31 (Choice 2) Important

Question 32 Important

Question 33

Question 34 (Choice 1)

Question 34 (Choice 2)

Question 35

Question 36 (Choice 1) Important

Question 36 (Choice 2)

Question 37 (Choice 1) Important

Question 37 (Choice 2) Important

Question 38 (Choice 1)

Question 38 (Choice 2) Important

Class 12

Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.