NCERT Solutions for Class 12 Maths Chapter 7 Integrals Ex 7.4 are part of NCERT Solutions for Class 12 Maths. Here we have given NCERT Solutions for Class 12 Maths Chapter 7 Integrals Ex 7.4.

- Integrals Class 12 Ex 7.1
- Integrals Class 12 Ex 7.2
- Integrals Class 12 Ex 7.3
- 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 7.10
- Integrals Class 12 Ex 7.11

Board |
CBSE |

Textbook |
NCERT |

Class |
Class 12 |

Subject |
Maths |

Chapter |
Chapter 7 |

Chapter Name |
Integrals |

Exercise |
Ex 7.4 |

Number of Questions Solved |
25 |

Category |
NCERT Solutions |

## NCERT Solutions for Class 12 Maths Chapter 7 Integrals Ex 7.4

Integrate the functions in exercises 1 to 23

**Question 1.**

**Solution:**

Let x^{3} = t ⇒ 3x²dx = dt

= tan^{-1} (x^{3})+c

**Question 2.**

**Solution:**

**Question 3.**

**Solution:**

put (2-x)=t

so that -dx=dt

⇒ dx=-dt

**Question 4.**

**Solution:**

**Question 5.**

**Solution:**

Put x²=t,so that 2x dx=dt

⇒x dx =

**Question 6.**

**Solution:**

put x^{3} = t,so that 3x²dx = dt

**Question 7.**

**Solution:**

put x²-1 = t,so that 2x dx = dt

**Question 8.**

**Solution:**

put x^{3} = t

so that 3x^{2}dx = dt

**Question 9.**

**Solution:**

let tanx = t

sec x²dx = dt

**Question 10.**

**Solution:**

**Question 11.**

**Solution:**

**Question 12.**

**Solution:**

**Question 13.**

**Solution:**

**Question 14.**

**Solution:**

**Question 15.**

**Solution:**

**Question 16.**

**Solution:**

put 2x²+x-3=t

so that (4x+1)dx=dt

**Question 17.**

**Solution:**

**Question 18.**

**Solution:**

put 5x-2=A(1+2x+3x²)+B

⇒ 6A=5, A=, B=

**Question 19.**

**Solution:**

**Question 20.**

**Solution:**

**Question 21.**

**Solution:**

**Question 22.**

**Solution:**

**Question 23.**

**Solution:**

**Question 24.**

(a) xtan^{-1}(x+1)+c

(b) (x+1)tan^{-1}x+c

(c) tan^{-1}(x+1)+c

(d) tan^{-1}x+c

**Solution:**

(b)

= (x+1)tan^{-1}x+c

**Question 25.**

(a)

(b)

(c)

(d)

**Solution:**

(b)

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