RBSE Solutions for Class 12 Maths Chapter 7 समाकलन Ex 7.7

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

Rajasthan Board RBSE Solutions for Class 12 Maths in Hindi Medium & English Medium are part of RBSE Solutions for Class 12. Students can also read RBSE Class 12 Maths Important Questions for exam preparation. Students can also go through RBSE Class 12 Maths Notes to understand and remember the concepts easily.

RBSE Class 12 Maths Solutions Chapter 7 समाकलन Ex 7.7

1 से 9 तक के प्रश्नों के फलनों का समाकलन कीजिए-

प्रश्न 1.
\(\sqrt{4-x^2} \)
हल:
माना कि
RBSE Solutions for Class 12 Maths Chapter 7 समाकलन Ex 7.7 1

RBSE Solutions for Class 12 Maths Chapter 7 समाकलन Ex 7.7

प्रश्न 2.
\(\sqrt{1-4 x^2}\)
हल:
माना कि
RBSE Solutions for Class 12 Maths Chapter 7 समाकलन Ex 7.7 2

प्रश्न 3.
\(\sqrt{x^2+4 x+6}\)
हल:
माना कि
RBSE Solutions for Class 12 Maths Chapter 7 समाकलन Ex 7.7 3

प्रश्न 4.
\(\sqrt{x^2+4 x+1}\)
हल:
माना कि
RBSE Solutions for Class 12 Maths Chapter 7 समाकलन Ex 7.7 4

RBSE Solutions for Class 12 Maths Chapter 7 समाकलन Ex 7.7

प्रश्न 5.
\(\sqrt{1-4 x-x^2}\)
हल:
माना कि
RBSE Solutions for Class 12 Maths Chapter 7 समाकलन Ex 7.7 5

प्रश्न 6.
\(\sqrt{x^2+4 x-5}\)
हल:
माना कि
RBSE Solutions for Class 12 Maths Chapter 7 समाकलन Ex 7.7 6

प्रश्न 7.
\(\sqrt{1+3 x-x^2}\)
हल:
माना कि
RBSE Solutions for Class 12 Maths Chapter 7 समाकलन Ex 7.7 7

RBSE Solutions for Class 12 Maths Chapter 7 समाकलन Ex 7.7

प्रश्न 8.
\(\sqrt{x^2+3 x}\)
हल:
माना कि
RBSE Solutions for Class 12 Maths Chapter 7 समाकलन Ex 7.7 8

प्रश्न 9.
\(\sqrt{1+\frac{x^2}{9}}\)
हल:
RBSE Solutions for Class 12 Maths Chapter 7 समाकलन Ex 7.7 9

प्रश्न 10 व 11 में सही उत्तर का चयन कीजिए-

प्रश्न 10.
\(\sqrt{1+x^2}\) dx बराबर है-
(A) \(\frac{x}{2} \sqrt{1+x^2}+\frac{1}{2} \log \left|x+\sqrt{1+x^2}\right|\) + C
(B) \(\frac{2}{3}\left(1+x^2\right)^{\frac{3}{2}}\) + C
(C) \(\frac{2}{3} x\left(1+x^2\right)^{\frac{3}{2}}\) + C
(D) \(\frac{x^2}{2} \sqrt{1+x^2}+\frac{1}{2} x^2 \log \left|x+\sqrt{1+x^2}\right|\) + C
उत्तर
(A) \(\frac{x}{2} \sqrt{1+x^2}+\frac{1}{2} \log \left|x+\sqrt{1+x^2}\right|\) + C

हल:
RBSE Solutions for Class 12 Maths Chapter 7 समाकलन Ex 7.7 10

RBSE Solutions for Class 12 Maths Chapter 7 समाकलन Ex 7.7

प्रश्न 11.
\(\sqrt{x^2-8 x+7}\) dx बराबर है-
(A) \(\frac{1}{2}(x-4) \sqrt{x^2-8 x+7}+9 \log \left|x-4+\sqrt{x^2-8 x+7}\right|\) + C
(B) \(\frac{1}{2}(x+4) \sqrt{x^2-8 x+7}+9 \log \left|x+4+\sqrt{x^2-8 x+7}\right|\) + C
(C) \(\frac{1}{2}(x-4) \sqrt{x^2-8 x+7}-3 \sqrt{2} \log \left|x-4+\sqrt{x^2-8 x+7}\right|\) + C
(D) \(\frac{1}{2}(x-4) \sqrt{x^2-8 x+7}-\frac{9}{2} \log \left|x-4+\sqrt{x^2-8 x+7}\right|\) + C
उत्तर:
(D) \(\frac{1}{2}(x-4) \sqrt{x^2-8 x+7}-\frac{9}{2} \log \left|x-4+\sqrt{x^2-8 x+7}\right|\) + C

हल:
RBSE Solutions for Class 12 Maths Chapter 7 समाकलन Ex 7.7 11
अतः सही विकल्प (D) है।

Bhagya
Last Updated on Nov. 8, 2023, 10:10 a.m.
Published Nov. 7, 2023