$\smallint \,\frac{{a{x^3} + \,\,b{x^2} + c}}{{{x^4}}}\;\,dx$ equals

$a\,\,\log \,\,x\,\, + \,\,\frac{b}{{{x^2}}}\,\, + \,\,\frac{c}{{3{x^3}}}\,\, + \,\,k$

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int \,\frac{{a{x^3} + \,\,b{x^2} + c}}{{{x^4}}}\;\,dx

equals

View answer and explanation

Correct option: C

a\,\,\log \,\,x\,\, - \,\,\frac{b}{x}\,\, - \,\,\frac{c}{{3{x^3}}}\,\, + \,\,k

Option C,

a\,\,\log \,x\,\, - \,\,\frac{b}{x}\,\, - \,\,\frac{c}{{3{x^3}}}\,\, + \,\,k

, is correct because it is the result of directly integrating each term after dividing by

x^4