Integrate the following in terms of dx:
(x^2 – 2x +3) / x^4
Integrate the following in terms of dx:
(x^2 – 2x +3) / x^4
(x^2 – 2x +3) / x^4
Praneet Debnath , 9 Years ago
Grade 11
Integral Calculus> Integrate the following in terms of dx: (...
2 AnswersVikas TU
split (x^2 – 2x +3) / x^4 into:
(x^-2 -2x^-3 + 3x^-4) dx
= -x^-1 + x^-2 – x^-3 + c
= -1/x + 1/x^2 – 1/x^3 + c
(x^-2 -2x^-3 + 3x^-4) dx
= -x^-1 + x^-2 – x^-3 + c
= -1/x + 1/x^2 – 1/x^3 + c
Approved Last Activity: 9 Years ago
SREEKANTH
integtration of =(x^2 – 2x +3) / x^4
=(x^-2-2x^-3+3x^-4)
=integration of x^-2 dx-integration of -2x^-3 dx+integration of 3x^-4
=(x^-2+1/-2+1)-(2x^-3+1/-3+1)+(3x^-4+1/-4+1)
=-1/x+1/x^2-1/x^3+c
where c is an arbitrary constant
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