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 + e^{2x},

a = 0, b = 4

and nh = b – a = 4 – 0 = 4

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