Question

Let $A=\left[\begin{array}{ccc}x^2 & 6 & 0 \ 1 & -5 & 1 \ 2 & 0 & x\end{array}ight]$ and $B=\left[\begin{array}{lll}4 & 0 & 0 \ 0 & 1 & 0 \ 0 & 0 & 8\end{array}ight]$. If a function is defined as $f(x)=\operatorname{tr}(A B)$, then $\int \frac{3 d x}{f(x)}$ is equal to

Accepted Answer

$\frac{1}{4}ln\left| {\frac{{2x - 1}}{{2x + 5}}} \right| + C$

Answer

$\frac{1}{4}ln\left| {\frac{{2x + 5}}{{2x - 1}}} \right| + C$

Answer

$\frac{1}{3}ln\left| {\frac{{1 - 2x}}{{2x + 5}}} \right| + C$

Answer

$\frac{1}{3}ln\left| {\frac{{1 - 2x}}{{2x + 3}}} \right| + C$

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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