In Class 12 Boards there will be Case studies and Passage Based Questions will be asked, So practice these types of questions. Study Rate is always there to help you. Free PDF Download of CBSE Class 12 Mathematics Chapter 7 Integrals Case Study and Passage Based Questions with Answers were Prepared Based on Latest Exam Pattern. Students can solve NCERT Class 12 Maths Integrals to know their preparation level.
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In CBSE Class 12 Maths Paper, There will be a few questions based on case studies and passage-based as well. In that, a paragraph will be given, and then the MCQ questions based on it will be asked.
Integrals Case Study Questions With answers
Here, we have provided case-based/passage-based questions for Class 12 Mathematics Chapter 7 Integrals
Case Study/Passage Based Questions
Integration is the process of finding the antiderivative of a function. In this process, we are provided with the derivative of a function and asked to find out the function (i.e., Primitive) Integration is the inverse process of differentiation.
Let f (x) be a function of x. If there is a function g(x), such that d/dx (g(x)) = f (x), then g(x) is called an integral of f (x) w.r.t x and is denoted by ∫f (x )dx = g(x) + c, where c is constant of integration.
∫(3x+4)3 dx is equal to
Answer: (a)
Answer: (b) log|x| + 2 tan–1x + c
∫sin2(x) dx is equal to
Answer: (b)
∫tan2(x) dx is equal to
(a) tan x + x + c (b) – tan x – x + c
(c) – tan x + x + c (d) tan x – x + c
Answer: (d) tan x – x + c
Answer: (c)
Case Study/Passage Based Questions
When the integrated can be expressed as a product of two functions, one of which can be differentiated and the other can be integrated, then we apply integration by parts. If f(x) = first function (that can be differentiated) and g(x) = second function (that can be integrated), then the preference of this order can be decided by the word “ILATE”, where
I stands for Inverse Trigonometric Function
L stands for Logarithmic Function
A stands for Algebraic Function
T stands for Trigonometric Function
E stands for Exponential Function, then
∫x.sin3x dx =
Answer: (b)
∫ log(x + 1) dx =
(a) log (x + 1) – x + c
(b) x log(x + 1) – x + c
(c) x log(x + 1) – log (x + 1) + x + c
(d) x log(x + 1) + log (x + 1) – x + c
Answer: (d)x log(x + 1) + log (x + 1) – x + c
Answer: (d)
Answer: (a)
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