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If f(x)=a+bx+cx^(2)where cgt0 and b^(2)-4aclt0 then the area enclosed by the co-ordinate axes, the line x=2, and the curve y=f(x) is given by |
Answer» <html><body><p>`(1)/(<a href="https://interviewquestions.tuteehub.com/tag/3-301577" style="font-weight:bold;" target="_blank" title="Click to know more about 3">3</a>){4f(1)+f(2)}`<br/>`(1)/(2){f(0)+4f(1)}`<br/>`(1)/(2){f(0)+4f(1)+f(2)}`<br/>`(1)/(3){f(0)+4f(1)+f(2)}`</p>Solution :Area`=underset(0)overset(2)(int)ydx=underset(0)overset(<a href="https://interviewquestions.tuteehub.com/tag/20-287209" style="font-weight:bold;" target="_blank" title="Click to know more about 20">20</a>)(int)(a+bx+cx^(2))dx=2a +<a href="https://interviewquestions.tuteehub.com/tag/2b-300274" style="font-weight:bold;" target="_blank" title="Click to know more about 2B">2B</a>+(<a href="https://interviewquestions.tuteehub.com/tag/8c-340069" style="font-weight:bold;" target="_blank" title="Click to know more about 8C">8C</a>)/(3)`<br/> `=(1)/(3)(6a+6b+8c)`<br/> `=(1)/(3){f(0)+4f(1)+f(2)}`<br/> <img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/VBA_IRP_FST_2_E01_166_S01.png" width="80%"/></body></html> | |