RBSE Solutions for Class 12 Maths Chapter 7 Integrals Ex 7.7

Rajasthan Board RBSE Solutions for Class 12 Maths Chapter 7 Integrals Ex 7.7 Textbook Exercise Questions and Answers.

RBSE Class 12 Maths Solutions Chapter 7 Integrals Ex 7.7

Question 1.
\(\sqrt{4-x^{2}}\)
Answer:

Question 2.
\(\sqrt{1-4 x^{2}}\)
Answer:

Question 3.
\(\sqrt{x^{2}+4 x+6}\)
Answer:

Question 4.
\(\sqrt{x^{2}+4 x+1}\)
Answer:

Question 5.
\(\sqrt{1-4 x-x^{2}}\)
Answer:

Question 6.
\(\sqrt{x^{2}+4 x-5}\)
Answer:

Question 7.
\(\sqrt{1+3 x-x^{2}}\)
Answer:

Question 8.
\(\int \sqrt{x^{2}+3 x d x}\)
Answer:

Question 9.
\(\int \sqrt{1+\frac{x^{2}}{9}} d x\)
Answer:

Question 10.
\(∫\sqrt{1+x^{2}}\) dx is equal to:
(A) \(\frac{x}{2} \sqrt{1+x^{2}}+\frac{1}{2} \log \left|\left(x+\sqrt{1+x^{2}}\right)\right|+C\)
(B) \(\frac{2}{3}\) (1 + x²)^3/2 + C
(C) \(\frac{2}{3}\) x(1 + x²)^3/2 + C
(D) \(\frac{x^{2}}{2} \sqrt{1+x^{2}}+\frac{1}{2} x^{2} \log \left|x+\sqrt{1+x^{2}}\right|+C\)
Answer:

Hence, (A) is the correct answer.

Question 11.
∫\(\sqrt{x^{2}-8 x+7}\) dx is equal to

Answer:

Hence, (D) is the correct answer.