NCERT Solutions for Class 12 Maths Chapter 7 Integrals Ex 7.6 are part of NCERT Solutions for Class 12 Maths. Here we have given NCERT Solutions for Class 12 Maths Chapter 7 Integrals Ex 7.6.

- 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 7.7
- Integrals Class 12 Ex 7.8
- 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 7.6 |

Number of Questions Solved |
24 |

Category |
NCERT Solutions |

## NCERT Solutions for Class 12 Maths Chapter 7 Integrals Ex 7.6

**Integrate the functions in Exercises 1 to 22.**

**Question 1.**

x sinx

**Solution:**

By part integration

∫x sinx dx = x(-cosx) – ∫1(-cosx)dx

=-x cosx + ∫cosxdx

=-x cosx + sinx + c

**Question 2.**

x sin3x

**Solution:**

∫x sin3x dx =

**Question 3.**

**Solution:**

**Question 4.**

x logx

**Solution:**

**Question 5.**

x log2x

**Solution:**

**Question 6.**

**Solution:**

**Question 7.**

**Solution:**

**Question 8.**

**Solution:**

**Question 9.**

**Solution:**

let I =

**Question 10.**

**Solution:**

**Question 11.**

**Solution:**

**Question 12.**

x sec²x

**Solution:**

∫x sec²x dx =x(tanx)-∫1.tanx dx

= x tanx+log cosx+c

**Question 13.**

**Solution:**

**Question 14.**

x(logx)²

**Solution:**

∫x(logx)² dx

**Question 15.**

(x²+1)logx

**Solution:**

∫(x²+1)logx dx

**Question 16.**

**Solution:**

**Question 17.**

**Solution:**

**Question 18.**

**Solution:**

**Question 19.**

**Solution:**

put

**Question 20.**

**Solution:**

**Question 21.**

**Solution:**

let

**Question 22.**

**Solution:**

Put x = tan t

so that dx = sec² t dt

**Choose the correct answer in exercise 23 and 24**

**Question 23.**

(a)

(b)

(c)

(d)

**Solution:**

(a) let x³ = t

⇒3x² dx = dt

**Question 24.**

(a)

(b)

(c)

(d)

**Solution:**

(b)

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