NCERT Solutions for Class 12 Maths Chapter 7 – Integrals Ex 7.8
Page No 334:
Question 1:
![](https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7734/NCERT_Solution_Math_Chapter_7_final_html_69e5f3b9.gif)
Answer:
It is known that,
![](https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7734/NCERT_Solution_Math_Chapter_7_final_html_me7fec4d.gif)
![](https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7734/NCERT_Solution_Math_Chapter_7_final_html_72e7930a.gif)
Question 2:
![](https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7735/NCERT_Solution_Math_Chapter_7_final_html_m7ea19f1b.gif)
Answer:
![](https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7735/NCERT_Solution_Math_Chapter_7_final_html_5fe9d3a4.gif)
It is known that,
![](https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7735/NCERT_Solution_Math_Chapter_7_final_html_m405877a1.gif)
![](https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7735/NCERT_Solution_Math_Chapter_7_final_html_446ceb1.gif)
Question 3:
![](https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7736/NCERT_Solution_Math_Chapter_7_final_html_m360250ef.gif)
Answer:
It is known that,
![](https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7736/NCERT_Solution_Math_Chapter_7_final_html_m4f945515.gif)
![](https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7736/NCERT_Solution_Math_Chapter_7_final_html_2aa04a39.gif)
Question 4:
![](https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7737/NCERT_Solution_Math_Chapter_7_final_html_m220fbce.gif)
Answer:
![](https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7737/NCERT_Solution_Math_Chapter_7_final_html_m2879635d.gif)
It is known that,
![](https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7737/NCERT_Solution_Math_Chapter_7_final_html_m383850e.gif)
![](https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7737/NCERT_Solution_Math_Chapter_7_final_html_m6bd88959.gif)
![](https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7737/NCERT_Solution_Math_Chapter_7_final_html_5952197b.gif)
![](https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7737/NCERT_Solution_Math_Chapter_7_final_html_47ebd74.gif)
![](https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7737/NCERT_Solution_Math_Chapter_7_final_html_51a9ceb8.gif)
From equations (2) and (3), we obtain
![](https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7737/NCERT_Solution_Math_Chapter_7_final_html_1bb6734a.gif)
Question 5:
![](https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7739/NCERT_Solution_Math_Chapter_7_final_html_m1cc03f8e.gif)
Answer:
![](https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7739/NCERT_Solution_Math_Chapter_7_final_html_57b2e480.gif)
It is known that,
![](https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7739/NCERT_Solution_Math_Chapter_7_final_html_m4ddc80d9.gif)
![](https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7739/NCERT_Solution_Math_Chapter_7_final_html_7c5270a4.gif)
Question 6:
![](https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7741/NCERT_Solution_Math_Chapter_7_final_html_2690150b.gif)
Answer:
It is known that,
![](https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7741/NCERT_Solution_Math_Chapter_7_final_html_m23e187a5.gif)
![](https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7741/NCERT_Solution_Math_Chapter_7_final_html_164cb7ca.gif)