AP EAMCET · Maths · Indefinite Integration
\(\int \frac{2 x^2 \cos \left(x^2\right)-\sin \left(x^2\right)}{x^2} d x=\)
- A \(\frac{\sin \left(x^2\right)}{x^2}+c\)
- B \(\frac{\cos \left(x^2\right)}{x^2}+c\)
- C \(\sin \left(x^2\right)+\mathrm{c}\)
- D \(\frac{\sin \left(x^2\right)}{x}+c\)
Answer & Solution
Correct Answer
(D) \(\frac{\sin \left(x^2\right)}{x}+c\)
Step-by-step Solution
Detailed explanation
\begin{aligned} & \text { Let } h=\int \frac{2 x^2 \cos \left(x^2\right)-\sin \left(x^2\right)}{x^2} d x \\ = & \int \frac{x \cdot d\left(\sin \left(x^2\right)\right)-\sin \left(x^2\right) \cdot d(x)}{x^2} \\ = & \int d\left(\frac{\sin \left(x^2\right)}{x}\right)=\frac{\sin…
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 perimeter of \(\triangle A B C\) is \(36 \mathrm{~cm}\) and its in radius is \(8 \mathrm{~cm}\). Then, the area of the triangle isAP EAMCET 2020 Easy
- If the standard deviation of the numbers 2,3 , \(2 x\) and 11 is 3.5. Find the possible values of \(x\).AP EAMCET 2020 Easy
- If \(P=(2,-3,4), Q=(-1,-4,0), R=(2,1,0)\) are three points and \(S\) is the foot of the perpendicular drawn from \(\mathrm{R}\) to \(\mathrm{PQ}\), then the \(\mathrm{X}\)-coordinate of \(\mathrm{S}\) isAP EAMCET 2018 Medium
- If , thenAP EAMCET 2021 Medium
- \(\cos 20^{\circ}+\cos 30^{\circ}+\cos 40^{\circ}=\)AP EAMCET 2017 Hard
- If a parabola passess through the points \((-2,1)\), \((1,2)\) and \((-1,3)\) having horizontal axis, then the length of the latus rectum of that parabola isAP EAMCET 2018 Medium
More PYQs from AP EAMCET
- \(x=\frac{1}{2}\left(\sqrt{3}+\frac{1}{\sqrt{3}}\right)\), then \(\frac{\sqrt{x^2-1}}{x-\sqrt{x^2-1}}\) is equal toAP EAMCET 2005 Medium
- If \(\frac{\tan 3 A}{\tan A}=a\), then \(\frac{\sin 3 A}{\sin A}\) is equal toAP EAMCET 2005 Hard
- The value of \(x\), where \(x>0\) and \(\tan \left(\sec ^{-1}\left(\frac{1}{x}\right)\right)=\sin \left(\tan ^{-1} 2\right)\) isAP EAMCET 2007 Medium
- Identify correct statements from the following:
i. Beryllium oxide is an amphoteric oxide.
ii. Group II elements dissolve in liquid ammonia to form deep blue-black solutions.
iii. The hydration enthalpy of group II ions decreases from \(\mathrm{Be}^{2+}\) to \(\mathrm{Ba}^{2+}\).AP EAMCET 2019 Easy - Which of the following is not a disproportionation reaction?AP EAMCET 2022 Medium
- A mental sphere of radius \(r\) and specific heat \(S\) is rotated about an axis passing through its centre at a speed of \(n\) rotations per second. It is suddenly stopped and \(50 \%\) of its energy is used in increasing its temperature. Then, the raise in temperature of the sphere isAP EAMCET 2002 Hard