Class 12
MATHS
Definite Integration

# Prove that int_(a)^(b)f(x)dx=(b-a)int_(0)^(1)f((b-a)x+a)dx

Step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams.

Updated On: 26-9-2020

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Very Important Questions

I=(b-a)int_(0)^(1)f((b-a)x+a)dx <br> Let (b-a)x+a=t <br> impliesdx=(dt)/((b-a)) <br> impliesdx=(dt)/((b-a)) <br> Also when x=0 then t=a an x=1 then t=b <br> :.I=(b-a)int_(a)^(b)f(t)(dt)/((b-a)) <br> =int_(a)^(b)f(t)dt <br> =int_(a)^(b)f(x)dx (Change of dummy variable)
The text passage contains a mathematical proof for a definite integration property. It does not contain a question but rather a statement to be proven, followed by a step-by-step solution.
no_question
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
Class 12
MATHS
Definite Integration

# Prove that int_(a)^(b)f(x)dx=(b-a)int_(0)^(1)f((b-a)x+a)dx

Step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams.

Updated On: 26-9-2020

Apne doubts clear karein ab Whatsapp par bhi. Try it now.

Watch 1000+ concepts & tricky questions explained!

66.0 K+

3.3 K+

Related Videos

26890

74.0 K+

126.5 K+

1:59
96594201

2.6 K+

52.9 K+

3:36
26863

5.5 K+

111.1 K+

2:43
1265106

33.0 K+

159.9 K+

4:22
10489

7.1 K+

142.2 K+

4:35
1265532

2.3 K+

46.5 K+

2:09
1340326

17.5 K+

350.4 K+

5:16
35783149

22.0 K+

27.9 K+

2:56
2138391

1.7 K+

34.5 K+

5:11
34151

3.9 K+

78.4 K+

1:51
2620749

57.0 K+

83.1 K+

3:23
1340327

12.4 K+

248.3 K+

4:26
96594202

1.4 K+

27.7 K+

5:42
34763

3.2 K+

64.1 K+

4:37
96594200

6.7 K+

24.3 K+

3:12

Very Important Questions

I=(b-a)int_(0)^(1)f((b-a)x+a)dx <br> Let (b-a)x+a=t <br> impliesdx=(dt)/((b-a)) <br> impliesdx=(dt)/((b-a)) <br> Also when x=0 then t=a an x=1 then t=b <br> :.I=(b-a)int_(a)^(b)f(t)(dt)/((b-a)) <br> =int_(a)^(b)f(t)dt <br> =int_(a)^(b)f(x)dx (Change of dummy variable)
user
The text passage contains a mathematical proof for a definite integration property. It does not contain a question but rather a statement to be proven, followed by a step-by-step solution.

TYPE: NO_QUESTION