MP Board Class 12th Maths Important Questions Chapter 7 Integration

MP Board Class 12th Maths Important Questions Chapter 7 Integration

MP Board Class 12th Maths Important Questions Chapter 7 Integration

Important Questions

Very Short Answer Type Questions

Answer:

Short Answer Type Questions

Question 1.
Evaluate:

Long Answer Type Questions

Question 10.

⇒ 3x = A(x + 1) + B (x – 2)
⇒ 3x = (A + B)x + (A – 2B) …………………… (2)
Comparing the coefficient of x from both sides,
3 = A + B
0 = A – 2B
3 = 3B ⇒ B = 1
and A = 2B = 2
image 40 40 40
= 2 log(x – 2) + log (x + 1) + c.

Objective Type Questions:

Question 1.
Choose the correct answer:

Question 1.
The value of dx is:
(a) log_e (l + tan x) + c
(b) tan x + c
(c) – cot x + c
(c) – cot x + c
(d) log_e x + c
Answer:
(a) log_e (l + tan x) + c

Question 4.
The value  is:
(a) 2 log_ecos(xe^x) + c
(b) sec(xe^x) + c
(c) tan(xe^x) + c
(d) tan(x + e^x) + c
Answer:
(c) tan(xe^x) + c

Question 5.
If ∫xsinxdx = -x cos x + α will be:
(a) sin x + c
(b) cos x + c
(c) c
(d) None of these
Answer:
(a) sin x + c

Question 2.
Fill in the blanks :

Question 3.
Write True/False:

Answer:

1. True
2. True
3. False
4. True
5. False
6. False

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