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Read the following text and answer the following questions on the basis of the same:
Let’s say that we want to evaluate ∫[P(x)/Q(x)] dx, where P(x)/Q(x) is a proper rational fraction. In such cases, it is possible to write the integrand as a sum of simpler rational functions by using partial fraction decomposition. Post this, integration can be carried out easily. The following image indicates some simple partial fractions which can be associated with various rational functions:
In the above table, A, B and C are real numbers to be determined suitably.
Q.
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'D'. Can you explain this answer?
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Read the following text and answer the following questions on the bas...
Let ex = t
⇒ ex dx = dt
1 = A(t - 1) + Bt …..(i)
Substituting t = 1 and t = 0 in equation (i), we obtain
A = –1 and B = 1
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Read the following text and answer the following questions on the basis of the same:Let’s say that we want to evaluate ∫[P(x)/Q(x)] dx, where P(x)/Q(x) is a proper rational fraction. In such cases, it is possible to write the integrand as a sum of simpler rational functions by using partial fraction decomposition. Post this, integration can be carried out easily. The following image indicates some simple partial fractions which can be associated with various rational functions:In the above table, A, B and C are real numbers to be determined suitably.Q. a)b)c)d)Correct answer is option 'D'. Can you explain this answer?
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Read the following text and answer the following questions on the basis of the same:Let’s say that we want to evaluate ∫[P(x)/Q(x)] dx, where P(x)/Q(x) is a proper rational fraction. In such cases, it is possible to write the integrand as a sum of simpler rational functions by using partial fraction decomposition. Post this, integration can be carried out easily. The following image indicates some simple partial fractions which can be associated with various rational functions:In the above table, A, B and C are real numbers to be determined suitably.Q. a)b)c)d)Correct answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Read the following text and answer the following questions on the basis of the same:Let’s say that we want to evaluate ∫[P(x)/Q(x)] dx, where P(x)/Q(x) is a proper rational fraction. In such cases, it is possible to write the integrand as a sum of simpler rational functions by using partial fraction decomposition. Post this, integration can be carried out easily. The following image indicates some simple partial fractions which can be associated with various rational functions:In the above table, A, B and C are real numbers to be determined suitably.Q. a)b)c)d)Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Read the following text and answer the following questions on the basis of the same:Let’s say that we want to evaluate ∫[P(x)/Q(x)] dx, where P(x)/Q(x) is a proper rational fraction. In such cases, it is possible to write the integrand as a sum of simpler rational functions by using partial fraction decomposition. Post this, integration can be carried out easily. The following image indicates some simple partial fractions which can be associated with various rational functions:In the above table, A, B and C are real numbers to be determined suitably.Q. a)b)c)d)Correct answer is option 'D'. Can you explain this answer?.
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