NCERT Solutions for Class 12 Maths Chapter 7 Integrals Ex 7.8 are part of NCERT Solutions for Class 12 Maths. Here we have given NCERT Solutions for Class 12 Maths Chapter 7 Integrals Ex 7.8.
- Integrals Class 12 Ex 7.1
- Integrals Class 12 Ex 7.2
- Integrals Class 12 Ex 7.3
- Integrals Class 12 Ex 7.4
- Integrals Class 12 Ex 7.5
- Integrals Class 12 Ex 7.6
- Integrals Class 12 Ex 7.7
- Integrals Class 12 Ex 7.9
- Integrals Class 12 Ex 7.10
- Integrals Class 12 Ex 7.11
| Board | CBSE |
| Textbook | NCERT |
| Class | Class 12 |
| Subject | Maths |
| Chapter | Chapter 7 |
| Chapter Name | Integrals |
| Exercise | Ex 7.8 |
| Number of Questions Solved | 228 |
| Category | NCERT Solutions |
NCERT Solutions for Class 12 Maths Chapter 7 Integrals Ex 7.8
Evaluate the following definite integral as limit of sums.
Ex 7.8 Class 12 Maths Question 1.
\(\int _{ a }^{ b }{ x\quad dx } \)
Solution:
on comparing
\(\int _{ a }^{ b }{ x\quad dx } \quad with\quad \int _{ a }^{ b }{ f(x)dx } \)
we have
Ex 7.8 Class 12 Maths Question 2.
\(\int _{ 0 }^{ 5 }{ (x+1)dx } \)
Solution:
on comparing
\(\int _{ 0 }^{ 5 }{ (x+1)dx } \quad with\quad \int _{ 0 }^{ 5 }{ f(x)dx } \)
we have f(x) = x+1, a = 0, b = 5
and nh = b-a = 5-0 = 5
Ex 7.8 Class 12 Maths Question 3.
\(\int _{ 2 }^{ 3 }{ { x }^{ 2 } } dx\)
Solution:
compare
\(\int _{ 2 }^{ 3 }{ { x }^{ 2 } } dx\quad with\quad \int _{ a }^{ b }{ f({ x }) } dx\)
we have
Ex 7.8 Class 12 Maths Question 4.
\(\int _{ 1 }^{ 4 }{ ({ x }^{ 2 }-x) } dx\)
Solution:
compare
\(\int _{ 1 }^{ 4 }{ ({ x }^{ 2 }-x) } dx\quad with\quad \int _{ a }^{ b }{ f({ x }) } dx\)
we have f(x) = x²-x and a = 1, b = 4
Ex 7.8 Class 12 Maths Question 5.
\(\int _{ -1 }^{ 1 }{ { e }^{ x } } dx\quad \)
Solution:
compare
\(\int _{ -1 }^{ 1 }{ { e }^{ x } } dx\quad with\quad \int _{ a }^{ b }{ f({ x }) } dx\)
we have
Ex 7.8 Class 12 Maths Question 6.
\(\int _{ 0 }^{ 4 }{ { (x+e }^{ 2x }) } dx\quad \)
Solution:
let f(x) = x + e2x,
a = 0, b = 4
and nh = b – a = 4 – 0 = 4
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