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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

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

Ans. 2

Q.2. The value of is ([.] denote the greatest integer function)

Ans. 2

Q.3. If then evaluate

Ans. 4
Applying C₁→ C₁ - C₃ and C₂→ C₂ - C₃/ we get

= -16sin³x cos²x - 24 sin²x cos²x - 12 sinx cos²x - 2 cos²x

Q.4. 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

Let f^-1 (x)= t

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

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	Single Correct MCQs: Differential Equations
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