In this chapter, we provide NCERT Solutions for Class 12 Maths Chapter 7 Integrals Ex 7.4 for English medium students, Which will very helpful for every student in their exams. Students can download the latest NCERT Solutions for Class 12 Maths Chapter 7 Integrals Ex 7.4 pdf, free NCERT solutions for Class 12 Maths Chapter 7 Integrals Ex 7.4 book pdf download.

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

**Ex 7.4 Class 12 Maths Question 1.****Solution:**

Let x^{3} = t ⇒ 3x²dx = dt

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

**Ex 7.4 Class 12 Maths Question 2.****Solution:**

**Ex 7.4 Class 12 Maths Question 3.****Solution:**

put (2-x)=t

so that -dx=dt

⇒ dx=-dt

**Ex 7.4 Class 12 Maths Question 4.****Solution:**

**Ex 7.4 Class 12 Maths Question 5.****Solution:**

Put x²=t,so that 2x dx=dt

⇒x dx =

**Ex 7.4 Class 12 Maths Question 6.****Solution:**

put x^{3} = t,so that 3x²dx = dt

**Ex 7.4 Class 12 Maths Question 7.****Solution:**

put x²-1 = t,so that 2x dx = dt

**Ex 7.4 Class 12 Maths Question 8.****Solution:**

put x^{3} = t

so that 3x^{2}dx = dt

**Ex 7.4 Class 12 Maths Question 9.****Solution:**

let tanx = t

sec x²dx = dt

**Ex 7.4 Class 12 Maths Question 10.****Solution:**

**Ex 7.4 Class 12 Maths Question 11.****Solution:**

**Ex 7.4 Class 12 Maths Question 12.****Solution:**

**Ex 7.4 Class 12 Maths Question 13.****Solution:**

**Ex 7.4 Class 12 Maths Question 14.****Solution:**

**Ex 7.4 Class 12 Maths Question 15.****Solution:**

**Ex 7.4 Class 12 Maths Question 16.****Solution:**

put 2x²+x-3=t

so that (4x+1)dx=dt

**Ex 7.4 Class 12 Maths Question 17.****Solution:**

**Ex 7.4 Class 12 Maths Question 18.****Solution:**

put 5x-2=A(1+2x+3x²)+B

⇒ 6A=5, A=, B=

**Ex 7.4 Class 12 Maths Question 19.****Solution:**

**Ex 7.4 Class 12 Maths Question 20.****Solution:**

**Ex 7.4 Class 12 Maths Question 21.****Solution:**

**Ex 7.4 Class 12 Maths Question 22.****Solution:**

**Ex 7.4 Class 12 Maths Question 23.****Solution:**

**Ex 7.4 Class 12 Maths 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

**Ex 7.4 Class 12 Maths Question 25.**

(a)

(b)

(c)

(d) **Solution:**

(b)

**All Chapter NCERT Solutions For Class12 Maths**

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