JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Analyzing +4 | -1

a f(x)+b f\left(\frac{1}{x}\right)=\frac{1}{x}-5, x \neq 0, a \neq b

, then

\int\limits_{1}^2 f(x) d x

equals

View answer and explanation

Correct option: B

\frac{(\ln 2-5) a+\frac{7 b}{2}}{a^2-b^2}

The correct answer is A (

\frac{(\ln 2-5) a+\frac{7}{2} b}{a^2-b^2}

) because by solving the system of equations for

f(x)

and then integrating, the result matches this option.

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