JEE  >  All Types of Questions for JEE  >  Integer Answer Type Questions: Definite Integrals & Application of Integrals

Integer Answer Type Questions: Definite Integrals & Application of Integrals - Notes | Study All Types of Questions for JEE - JEE

1 Crore+ students have signed up on EduRev. Have you?

Q.1. If Integer Answer Type Questions: Definite Integrals & Application of Integrals - Notes | Study All Types of Questions for JEE - JEE

Ans. 2
Integer Answer Type Questions: Definite Integrals & Application of Integrals - Notes | Study All Types of Questions for JEE - JEE


Q.2. The value of Integer Answer Type Questions: Definite Integrals & Application of Integrals - Notes | Study All Types of Questions for JEE - JEE is ([.] denote the greatest integer function)

Ans. 2
Integer Answer Type Questions: Definite Integrals & Application of Integrals - Notes | Study All Types of Questions for JEE - JEE
Integer Answer Type Questions: Definite Integrals & Application of Integrals - Notes | Study All Types of Questions for JEE - JEE
Integer Answer Type Questions: Definite Integrals & Application of Integrals - Notes | Study All Types of Questions for JEE - JEE


Q.3. If Integer Answer Type Questions: Definite Integrals & Application of Integrals - Notes | Study All Types of Questions for JEE - JEEthen evaluate Integer Answer Type Questions: Definite Integrals & Application of Integrals - Notes | Study All Types of Questions for JEE - JEE

Ans. 4
Applying C1→ C1 - C3 and C2→ C2 - C3/ we get
Integer Answer Type Questions: Definite Integrals & Application of Integrals - Notes | Study All Types of Questions for JEE - JEE
Integer Answer Type Questions: Definite Integrals & Application of Integrals - Notes | Study All Types of Questions for JEE - JEE
= -16sin3x cos2x - 24 sin2x cos2x - 12 sinx cos2x - 2 cos2x
Integer Answer Type Questions: Definite Integrals & Application of Integrals - Notes | Study All Types of Questions for JEE - JEE


Q.4. Integer Answer Type Questions: Definite Integrals & Application of Integrals - Notes | Study All Types of Questions for JEE - JEE If the area bounded by y = f-1 (x) , x-axis between, x = -1/2 to x = 1/2 is A - In 2, then find A .

Ans. 1
Required area
Integer Answer Type Questions: Definite Integrals & Application of Integrals - Notes | Study All Types of Questions for JEE - JEE
Let f-1 (x)= t
Integer Answer Type Questions: Definite Integrals & Application of Integrals - Notes | Study All Types of Questions for JEE - JEE
Integer Answer Type Questions: Definite Integrals & Application of Integrals - Notes | Study All Types of Questions for JEE - JEE


Q.5. Let y = g(x) be the image of f(x) = x + sinx a bout the line x + y = 0. If the a rea bounded by y = g(x), x-axis, x = 0 and x = 2 tt is A, then A/π2 is ___________

Ans. 2
f(x) is an odd function
Integer Answer Type Questions: Definite Integrals & Application of Integrals - Notes | Study All Types of Questions for JEE - JEE

The document Integer Answer Type Questions: Definite Integrals & Application of Integrals - Notes | Study All Types of Questions for JEE - JEE is a part of the JEE Course All Types of Questions for JEE.
All you need of JEE at this link: JEE
376 docs
Use Code STAYHOME200 and get INR 200 additional OFF
Use Coupon Code
376 docs
Download as PDF

Download free EduRev App

Track your progress, build streaks, highlight & save important lessons and more!

Related Searches

shortcuts and tricks

,

Free

,

mock tests for examination

,

past year papers

,

Important questions

,

Extra Questions

,

ppt

,

Previous Year Questions with Solutions

,

MCQs

,

Viva Questions

,

Sample Paper

,

Exam

,

Semester Notes

,

practice quizzes

,

Summary

,

Integer Answer Type Questions: Definite Integrals & Application of Integrals - Notes | Study All Types of Questions for JEE - JEE

,

Integer Answer Type Questions: Definite Integrals & Application of Integrals - Notes | Study All Types of Questions for JEE - JEE

,

Integer Answer Type Questions: Definite Integrals & Application of Integrals - Notes | Study All Types of Questions for JEE - JEE

,

Objective type Questions

,

pdf

,

study material

,

video lectures

;