Questions
Let and
if then the value of is
detailed solution
Correct option is B
Note that ddxf3(x)=f2(x),ddxf2(x)=f(x) and ddxf1(x)=f(x). Integrating by partsf3(x)=tf2(t)0x−∫0x tf1(t)dt=xf2(x)−∫0x tf1(t)dt=∫0x (x−t)f1(t)dt=−(x−t)22f1(t)0x+12∫0x (x−t)2f(t)dt=12∫0x (x−t)2f(t)dt. Thus A=12.Similar Questions
The value of is
799 666 8865
support@infinitylearn.com
6th Floor, NCC Building, Durgamma Cheruvu Road, Vittal Rao Nagar, HITEC City, Hyderabad, Telangana 500081.
JEE Mock Tests
JEE study guide
JEE Revision Notes
JEE Important Questions
JEE Sample Papers
JEE Previous Year's Papers
NEET previous year’s papers
NEET important questions
NEET sample papers
NEET revision notes
NEET study guide
NEET mock tests