NCERT Solutions for Class 12 Maths Chapter 7 Integrals Ex 7.10 are part of NCERT Solutions for Class 12 Maths. Here we have given NCERT Solutions for Class 12 Maths Chapter 7 Integrals Ex 7.10.

- 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 7.8
- Integrals Class 12 Ex 7.9
- Integrals Class 12 Ex 7.11

Board |
CBSE |

Textbook |
NCERT |

Class |
Class 12 |

Subject |
Maths |

Chapter |
Chapter 7 |

Chapter Name |
Integrals |

Exercise |
Ex 7.10 |

Number of Questions Solved |
10 |

Category |
NCERT Solutions |

## NCERT Solutions for Class 12 Maths Chapter 7 Integrals Ex 7.10

**Evaluate the integrals in Exercises 1 to 8 using substitution.**

**Ex 7.10 Class 12 Maths Question 1.**

**Solution:**

Let x² + 1 = t

⇒2xdx = dt

when x = 0, t = 1 and when x = 1, t = 2

**Ex 7.10 Class 12 Maths Question 2.**

**Solution:**

put sinφ = t,so that cosφdφ = dt

**Ex 7.10 Class 12 Maths Question 3.**

**Solution:**

let x = tanθ =>dx = sec²θ dθ

when x = 0 => θ = 0

and when x = 1 =>

**Ex 7.10 Class 12 Maths Question 4.**

**Solution:**

let x+2 = t =>dx = dt

when x = 0,t = 2 and when x = 2, t = 4

**Ex 7.10 Class 12 Maths Question 5.**

**Solution:**

put cosx = t

so that -sinx dx = dt

when x = 0, t = 1; when , t = 0

**Ex 7.10 Class 12 Maths Question 6.**

**Solution:**

**Ex 7.10 Class 12 Maths Question 7.**

**Solution:**

**Ex 7.10 Class 12 Maths Question 8.**

**Solution:**

let 2x = t ⇒ 2dx = dt

when x = 1, t = 2 and when x = 2, t = 4

**Choose the correct answer in Exercises 9 and 10**

**Ex 7.10 Class 12 Maths Question 9.**

The value of integral is

(a) 6

(b) 0

(c) 3

(d) 4

**Solution:**

(a) let I =

**Ex 7.10 Class 12 Maths Question 10.**

(a) cosx+xsinx

(b) xsinx

(c) xcosx

(d) sinx+xcosx

**Solution:**

(b)

=-x cox+sinx

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