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# NCERT Solutions for Class 12 Maths Integrations

Hi Students, Welcome to **Amans Maths Blogs (AMB)**. In this post, you will get the * NCERT Solutions for Class 12 Maths Integration Exercise 7.4*.

* NCERT Solutions for Class 12 Maths* are not only the solutions of Maths exercise but it builds your foundation of other important subjects. Getting knowledge of depth concept of

*like Algebra, Calculus, Trigonometry, Coordinate Geometry help you to understand the concept of Physics and Physical Chemistry.*

**CBSE Class 12**^{th}MathsAs we know that all the schools affiliated from CBSE follow the NCERT books for all subjects. You can check the **CBSE NCERT Syllabus**. Thus, * NCERT Solutions* helps the students to solve the exercise questions as given in

*.*

**NCERT Books*** NCERT Solutions for class 12* is highly recommended by the experienced teacher for students who are going to appear in

*and*

**CBSE Class 12***and*

**JEE Mains***and NEET level exams. Here You will get*

**Advanced***of all questions given in NCERT textbooks of class 12 in details with step by step process.*

**NCERT Solutions for Class 12 Maths Integration Exercise 7.4*** CBSE Class 12^{th}* is an important school class in your life as you take some serious decision about your career. And out of all subjects, Maths is an important and core subjects. So

*is major role in your exam preparation as it has detailed chapter wise solutions for all exercise. This*

**CBSE NCERT Solutions for Class 12**^{th}Maths**can be downloaded in PDF file. The downloading link is given at last.**

*NCERT Solutions*The PDF books of * NCERT Solutions for Class 12* are the first step towards the learning and understanding the each sections of Maths, Physics, Chemistry, Biology as it all help in engineering medical entrance exams. To solve it, you just need to click on download links of

**NCERT solutions for class 12**.

## NCERT Solutions for Class 12 Maths Integration Exercise 7.4

Find the integrals of the functions in Exercises 1 to 23:

**NCERT Solutions for Class 12 Maths Integration ****Exercise**** 7.4: Ques No 1.**

[Integrate 3x^{2}/(x^{6} + 1)]

**NCERT Solutions:**

**NCERT Solutions for Class 12 Maths Integration ****Exercise**** 7.4: Ques No 2.**

[Integrate 1/sqrt(1 + 4x^{2})]

**NCERT Solutions:**

**NCERT Solutions for Class 12 Maths Integration ****Exercise**** 7.4: Ques No 3.**

[Integrate 1/sqrt((2 – x)^{2} + 1]

**NCERT Solutions:**

**NCERT Solutions for Class 12 Maths Integration ****Exercise**** 7.4: Ques No 4.**

[Integrate 1/sqrt(9 – 25x^{2}]

**NCERT Solutions:**

**NCERT Solutions for Class 12 Maths Integration ****Exercise**** 7.4: Ques No 5.**

[Integrate 3x/(1 + 2x^{4}]

**NCERT Solutions:**

**NCERT Solutions for Class 12 Maths Integration ****Exercise**** 7.4: Ques No 6.**

[Integrate x^{2}/(1 – x^{6}]

**NCERT Solutions:**

**NCERT Solutions for Class 12 Maths Integration ****Exercise**** 7.4: Ques No 7.**

[Integrate (x – 1)/sqrt(x^{2 }– 1)]

**NCERT Solutions:**

**NCERT Solutions for Class 12 Maths Integration ****Exercise**** 7.4: Ques No 8.**

[Integrate x^{2}/sqrt(x^{6 }+ a^{6})]

**NCERT Solutions:**

**NCERT Solutions for Class 12 Maths Integration ****Exercise**** 7.4: Ques No 9.**

[Integrate sec^{2 }x/sqrt(tan^{2 }x + 4)]

**NCERT Solutions:**

**NCERT Solutions for Class 12 Maths Integration ****Exercise**** 7.4: Ques No 10.**

[Integrate 1/sqrt(x^{2} + 2x + 2)]

**NCERT Solutions:**

**NCERT Solutions for Class 12 Maths Integration ****Exercise**** 7.4: Ques No 11.**

[Integrate 1/(9x^{2} + 6x + 5)]

**NCERT Solutions:**

**NCERT Solutions for Class 12 Maths Integration ****Exercise**** 7.4: Ques No 12.**

[Integrate 1/(sqrt(7 – 6x) – x^{2})]

**NCERT Solutions:**

**NCERT Solutions for Class 12 Maths Integration ****Exercise**** 7.4: Ques No 13.**

[Integrate 1/sqrt((x – 1)(x – 2))]

**NCERT Solutions:**

**NCERT Solutions for Class 12 Maths Integration ****Exercise**** 7.4: Ques No 14.**

[Integrate 1/sqrt(8 + 3x – x^{2})]

**NCERT Solutions:**

**NCERT Solutions for Class 12 Maths Integration ****Exercise**** 7.4: Ques No 15.**

[Integrate 1/sqrt((x – a)(x – b))]

**NCERT Solutions:**

**NCERT Solutions for Class 12 Maths Integration ****Exercise**** 7.4: Ques No 16.**

[Integrate (4x + 1)/sqrt(2x^{2} + x – 3)]

**NCERT Solutions:**

**NCERT Solutions for Class 12 Maths Integration ****Exercise**** 7.4: Ques No 17.**

[Integrate (x + 2)/sqrt(x^{2} – 1)]

**NCERT Solutions:**

**NCERT Solutions for Class 12 Maths Integration ****Exercise**** 7.4: Ques No 18.**

[Integrate (5x – 2)/(1 + 2x + 3x^{2})]

**NCERT Solutions:**

**NCERT Solutions for Class 12 Maths Integration ****Exercise**** 7.4: Ques No 19.**

[Integrate (6x + 7)/sqrt((x – 5)(x – 4))]

**NCERT Solutions:**

**NCERT Solutions for Class 12 Maths Integration ****Exercise**** 7.4: Ques No 20.**

[Integrate (x + 2)/sqrt(4x – x^{2})]

**NCERT Solutions:**

**NCERT Solutions for Class 12 Maths Integration ****Exercise**** 7.4: Ques No 21.**

[Integrate (x + 2)/sqrt(x^{2 }+ 2x) + 3]

**NCERT Solutions:**

**NCERT Solutions for Class 12 Maths Integration ****Exercise**** 7.4: Ques No 22.**

[Integrate (x + 3)/sqrt(x^{2 }– 2x – 5)]

**NCERT Solutions:**

**NCERT Solutions for Class 12 Maths Integration ****Exercise**** 7.4: Ques No 23.**

[Integrate (5x + 3)/sqrt(x^{2 }+ 4x + 10)]

**NCERT Solutions:**

Choose the correct answer in Exercises 24 and 25

**NCERT Solutions for Class 12 Maths Integration ****Exercise**** 7.4: Ques No 24.**

equals

(A) x tan^{–1} (x + 1) + C

(B) tan^{–1} (x + 1) + C

(C) (x + 1) tan^{–1}x + C

(D) tan^{–1}x + C

[Integrate 1/(x^{2 }+ 2x + 2)]

**NCERT Solutions:**

**NCERT Solutions for Class 12 Maths Integration ****Exercise**** 7.4: Ques No 25.**

equals

(A) (1/9) sin^{–1} (9x – 8)/8 + C

(B) (1/2) sin^{–1} (8x – 9)/9 + C

(C) (1/3) sin^{–1} (9x – 8)/8 + C

(D) (1/2) sin^{–1} (9x – 8)/9 + C

[Integrate 1/sqrt(9x – 4x^{2})]

**NCERT Solutions:**