AP EAMCET · Maths · Indefinite Integration
\(\int \frac{d x}{x^{2 / 3}\left(1+x^{2 / 3}\right)}=\)
- A \(3 \operatorname{Sin}^{-1}\left(x^{1 / 3}\right)+c\)
- B \(3 \operatorname{Cos}^{-1}\left(x^{1 / 3}\right)+c\)
- C \(3 \operatorname{Tan}^{-1}\left(x^{1 / 3}\right)+c\)
- D \(3 \operatorname{Sec}^{-1}\left(x^{1 / 3}\right)+c\)
Answer & Solution
Correct Answer
(C) \(3 \operatorname{Tan}^{-1}\left(x^{1 / 3}\right)+c\)
Step-by-step Solution
Detailed explanation
No solution. Refer to answer key.
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
- If \(|z-3 i|+|z+5 i|=4\), then the locus of \(z\) isAP EAMCET 2022 Medium
- If the sum of any two roots of the equation is zero, thenAP EAMCET 2018 Easy
- In a \(\triangle A B C\), if \(3 a=b+c\), then \(\cot \frac{B}{2} \cot \frac{C}{2}=\)AP EAMCET 2019 Medium
- If \(a, b\) and \(c\) are the roots of \(x^3+q x+r=0\), then \((a-b)^2+(b-c)^2+(c-a)^2=\)AP EAMCET 2018 Medium
- Two lines whose direction cosines are given by \(a l+b m+c n=0\) and \(f m n+g n l+h l m=0\) are perpendicular to each other if .........AP EAMCET 2020 Hard
- \(\cos A \cos 2 A \cos 4 A \ldots \cos 2^{n-1} A\) equalsAP EAMCET 2009 Easy
More PYQs from AP EAMCET
- Name the kind of silicate formed, when two silicate units \(\left(\mathrm{SiO}_4\right)^{4-}\) share one oxygen atom.AP EAMCET 2020 Medium
- A person walks along a straight road from his house to a market \(2.5 \mathrm{~km}\) away with a speed of \(5 \mathrm{~km} / \mathrm{h}\) and instantly turns back and reaches his house with a speed of \(7.5 \mathrm{~km} / \mathrm{h}\). The average speed of the person during the time interval 0 to \(50 \mathrm{~min}\) is \((\mathrm{in} \mathrm{m} / \mathrm{s})\)AP EAMCET 2014 Easy
- The weight of a body at earth's surface is \(w\). At a depth half way to the centre of the earth, it will be (assuming of uniform density for earth)AP EAMCET 2020 Easy
- The locus of a point \(P\) such that \(P A+P B=4\) where \(A(2,3,4), B(-2,3,4)\) isAP EAMCET 2020 Easy
- The product of the perpendicular distances drawn from the origin to the pair of straight lines \(6 x^2-5 x y-6 y^2+x+5 y-1=0\) isAP EAMCET 2017 Hard
- In a Carnot's engine, as the gas gives heat energy to the sink, then the temperature of the sinkAP EAMCET 2023 Easy