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Integer Answer Type Questions for JEE: Definite Integrals & Application of Integrals | Chapter-wise Tests for JEE Main & Advanced PDF Download

Q.1. If Integer Answer Type Questions for JEE: Definite Integrals & Application of Integrals | Chapter-wise Tests for JEE Main & Advanced

Ans. 2
Integer Answer Type Questions for JEE: Definite Integrals & Application of Integrals | Chapter-wise Tests for JEE Main & Advanced


Q.2. The value of Integer Answer Type Questions for JEE: Definite Integrals & Application of Integrals | Chapter-wise Tests for JEE Main & Advanced is ([.] denote the greatest integer function)

Ans. 2
Integer Answer Type Questions for JEE: Definite Integrals & Application of Integrals | Chapter-wise Tests for JEE Main & Advanced
Integer Answer Type Questions for JEE: Definite Integrals & Application of Integrals | Chapter-wise Tests for JEE Main & Advanced
Integer Answer Type Questions for JEE: Definite Integrals & Application of Integrals | Chapter-wise Tests for JEE Main & Advanced


Q.3. If Integer Answer Type Questions for JEE: Definite Integrals & Application of Integrals | Chapter-wise Tests for JEE Main & Advancedthen evaluate Integer Answer Type Questions for JEE: Definite Integrals & Application of Integrals | Chapter-wise Tests for JEE Main & Advanced

Ans. 4
Applying C1→ C1 - C3 and C2→ C2 - C3/ we get
Integer Answer Type Questions for JEE: Definite Integrals & Application of Integrals | Chapter-wise Tests for JEE Main & Advanced
Integer Answer Type Questions for JEE: Definite Integrals & Application of Integrals | Chapter-wise Tests for JEE Main & Advanced
= -16sin3x cos2x - 24 sin2x cos2x - 12 sinx cos2x - 2 cos2x
Integer Answer Type Questions for JEE: Definite Integrals & Application of Integrals | Chapter-wise Tests for JEE Main & Advanced


Q.4. Integer Answer Type Questions for JEE: Definite Integrals & Application of Integrals | Chapter-wise Tests for JEE Main & Advanced 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 for JEE: Definite Integrals & Application of Integrals | Chapter-wise Tests for JEE Main & Advanced
Let f-1 (x)= t
Integer Answer Type Questions for JEE: Definite Integrals & Application of Integrals | Chapter-wise Tests for JEE Main & Advanced
Integer Answer Type Questions for JEE: Definite Integrals & Application of Integrals | Chapter-wise Tests for JEE Main & Advanced


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 for JEE: Definite Integrals & Application of Integrals | Chapter-wise Tests for JEE Main & Advanced

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