AP EAMCET · Maths · Indefinite Integration
If \(\int \frac{d x}{x(\log x-2)(\log x-3)}=I+C\), then \(I\) is equal to
- A \(\frac{1}{x} \log \left|\frac{\log x-3}{\log x-2}\right|\)
- B \(\log \left|\frac{\log x-3}{\log x-2}\right|\)
- C \(\log \left|\frac{\log x-2}{\log x-3}\right|\)
- D \(\log |(\log x-3)(\log x-2)|\)
Answer & Solution
Correct Answer
(B) \(\log \left|\frac{\log x-3}{\log x-2}\right|\)
Step-by-step Solution
Detailed explanation
Let \(I_1=\int \frac{d x}{x(\log x-2)(\log x-3)}\) Let \(t=\log x \Rightarrow d t=\frac{d x}{x}\)…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- The plane passing through the points \((1,1,1),(1,-1,1)\) and \((-7,-3,-5)\) isAP EAMCET 2021 Easy
- \(\lim _{n \rightarrow \infty}\left[\frac{n}{(n+1) \sqrt{2 n+1}}+\frac{n}{(n+2) \sqrt{2(2 n+2)}}\right.\) \(+\frac{n}{(n+3) \sqrt{3(2 n+3)}}+\ldots n\) terms \(]=\int_0^1 f(x) d x\) then \(f(x)=\)AP EAMCET 2022 Medium
- The number of real values of \(m\) so that the equation \(x^2+(2 m+1) x+m=0\) has equal roots isAP EAMCET 2022 Easy
- If \(x=\sin \left(2 \tan ^{-1} 2\right)\) and \(y=\sin \left(\frac{1}{2} \tan ^{-1} \frac{4}{3}\right)\),thenAP EAMCET 2016 Hard
- The parametric equations of the parabola \(y^2-8 x-4 y-12=0\) areAP EAMCET 2019 Easy
- If \(\mathrm{z}_1, \mathrm{z}_2, \mathrm{z}_3\) are the vertices of an equilateral triangle and \(\mathrm{z}\) is its circum centre, thenAP EAMCET 2023 Easy
More PYQs from AP EAMCET
- The orthogonal projection of \(\mathbf{a}\) on \(\mathbf{b}\) isAP EAMCET 2002 Easy
- The ratios of lengths, areas of cross-section and Young's modulii of steel to that of brass wires shown in the figure are \(a, b\) and \(c\) respectively. The ratio of increase in the lengths of brass to that of steel wires is [Assume that the masses of steel and brass wires are negligible]
AP EAMCET 2017 Hard - The differential equation formed by eliminating and from the equation isAP EAMCET 2019 Easy
- If \(\bar{a}=\bar{i}+\bar{j}, \bar{b}=2 \bar{j}-\bar{k}\) are two vectors such that \(\bar{r} \times \bar{a}=\bar{b} \times \bar{a}, \bar{r} \times \bar{b}=\bar{a} \times \bar{b}\), then the unit vector in the direction of \(\overline{\mathrm{r}}\) isAP EAMCET 2025 Medium
- Match the following:
The correct answer isAP EAMCET 2024 Easy - The circle touching the \(y\)-axis at a distance 4 units from the origin and cutting off an intercept 6 from \(\mathrm{x}\)-axis isAP EAMCET 2022 Easy