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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 7.11*.

* 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 7.11**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**.

* 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** 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 Maths Integration Exercise 7.11

Evaluate the definite integrals in Exercises 1 to 19.

**NCERT Solutions for Class 12 Maths Integration ****Exercise**** 7.11: Ques No 1.**

[definite integral of cos^{2} x from 0 to π/2]

**NCERT Solutions:**

**NCERT Solutions for Class 12 Maths Integration ****Exercise**** 7.11: Ques No 2.**

[definite integral of √(sin x) / (√(sin x) + √(cos x)) from 0 to π/2]

**NCERT Solutions:**

**NCERT Solutions for Class 12 Maths Integration ****Exercise**** 7.11: Ques No 3.**

[definite integral of sin^{3/2} x / (sin^{3/2} x + cos^{3/2} x) from 0 to π/2]

**NCERT Solutions:**

**NCERT Solutions for Class 12 Maths Integration ****Exercise**** 7.11: Ques No 4.**

[definite integral of cos^{5} x / (sin^{5} x + cos^{5} x) from 0 to π/2]

**NCERT Solutions:**

**NCERT Solutions for Class 12 Maths Integration ****Exercise**** 7.11: Ques No 5.**

[definite integral of |x + 2| from -5 to 5]

**NCERT Solutions:**

**NCERT Solutions for Class 12 Maths Integration ****Exercise**** 7.11: Ques No 6.**

[definite integral of |x – 5| from 2 to 8]

**NCERT Solutions:**

**NCERT Solutions for Class 12 Maths Integration ****Exercise**** 7.11: Ques No 7.**

[definite integral of x(1 – x) from 0 to 1]

**NCERT Solutions:**

**NCERT Solutions for Class 12 Maths Integration ****Exercise**** 7.11: Ques No 8.**

[definite integral of log(1 + tan x) from 0 to π/4]

**NCERT Solutions:**

**NCERT Solutions for Class 12 Maths Integration ****Exercise**** 7.11: Ques No 9.**

[definite integral of x√(2 – x) from 0 to 2]

**NCERT Solutions:**

**NCERT Solutions for Class 12 Maths Integration ****Exercise**** 7.11: Ques No 10.**

[definite integral of (2log sin x – log sin 2x) from 0 to π/2]

**NCERT Solutions:**

**NCERT Solutions for Class 12 Maths Integration ****Exercise**** 7.11: Ques No 11.**

[definite integral of sin^{2} x from -π/2 to π/2]

**NCERT Solutions:**

**NCERT Solutions for Class 12 Maths Integration ****Exercise**** 7.11: Ques No 12.**

[definite integral of x / (1 + sin x) from 0 to π]

**NCERT Solutions:**

**NCERT Solutions for Class 12 Maths Integration ****Exercise**** 7.11: Ques No 13.**

[definite integral of sin^{7} x from -π/2 to π/2]

**NCERT Solutions:**

**NCERT Solutions for Class 12 Maths Integration ****Exercise**** 7.11: Ques No 14.**

[definite integral of cos^{5} x from 0 to 2π]

**NCERT Solutions:**

**NCERT Solutions for Class 12 Maths Integration ****Exercise**** 7.11: Ques No 15.**

[definite integral of (sin x – cos x) / (1 + sin x cos x) from 0 to π/2]

**NCERT Solutions:**

**NCERT Solutions for Class 12 Maths Integration ****Exercise**** 7.11: Ques No 16.**

[definite integral of log(1 + cos x) from 0 to π]

**NCERT Solutions:**

**NCERT Solutions for Class 12 Maths Integration ****Exercise**** 7.11: Ques No 17.**

[definite integral of √x / (√x + √(a – x)) from 0 to a]

**NCERT Solutions:**

**NCERT Solutions for Class 12 Maths Integration ****Exercise**** 7.11: Ques No 18.**

[definite integral of |x – 1| from 0 to 4]

**NCERT Solutions:**

**NCERT Solutions for Class 12 Maths Integration ****Exercise**** 7.11: Ques No 19.**

Show that if f and g are defined as f(x) = f(a – x) and g(x) + g(a – x) = 4

[definite integral of f(x)g(x) from 0 to a is equals to 2(definite integral of f(x) from 0 to a)]

**NCERT Solutions:**

Choose the correct answer in Exercises 20 and 21.

**NCERT Solutions for Class 12 Maths Integration ****Exercise**** 7.11: Ques No 21.**

The value of

(A) 0

(B) 2

(C) π

(D) 1

[definite integral of (x^{3} + xcos x + tan^{5} x + 1) from -π/2 to π/2]

**NCERT Solutions:**

**NCERT Solutions for Class 12 Maths Integration ****Exercise**** 7.11: Ques No 22.**

The value of

(A) 2

(B) 3/4

(C) 0

(D) -2

[definite integral of log((4 + 3sin x)/(4 + 3cos x)) from 0 to π/2]

**NCERT Solutions:**