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NCERT Class 12 Maths Chapter 7: Integrals 11 Questions Solved

NCERT Solutions for Class 12 Maths Chapter 7 Integrals — Exercise 7.7

Click any question below for its step-by-step NCERT textbook solution, concept hints, and worked explanation.

Question 1
Evaluate \(\int \sqrt{4 - x^{2}}\, dx\).
Question 2
Evaluate \(\int \sqrt{1 - 4 x^{2}}\, dx\).
Question 3
Evaluate \(\int \sqrt{x^{2} + 4 x + 6}\, dx\).
Question 4
Evaluate \(\int \sqrt{x^{2} + 4 x + 1}\, dx\).
Question 5
Evaluate \(\int \sqrt{- x^{2} - 4 x + 1}\, dx\).
Question 6
Evaluate \(\int \sqrt{x^{2} + 4 x - 5}\, dx\).
Question 7
Evaluate \(\int \sqrt{- x^{2} + 3 x + 1}\, dx\).
Question 8
Evaluate \(\int \sqrt{x^{2} + 3 x}\, dx\).
Question 9
Evaluate \(\int \sqrt{\frac{x^{2}}{9} + 1}\, dx\).
Question 10
Evaluate \(\int \sqrt{x^{2} + 1}\, dx\).
Question 11
Evaluate \(\int \sqrt{x^{2} - 8 x + 7}\, dx\).