TS EAMCET · Maths · Indefinite Integration
If \(\int x^3 \sin 3 x d x=f(x) \cos 3 x+g(x) \sin 3 x+c\) then, \(27(f(x)+x g(x))=\)
- A \(18 x^3+4 x\)
- B \(8 x\)
- C \(4 x\)
- D \(18 x^3+8 x\)
Answer & Solution
Correct Answer
(C) \(4 x\)
Step-by-step Solution
Detailed explanation
\(\int x^3 \sin 3 x d x=x^3\left(\frac{-\cos 3 x}{3}\right)+\int x^2 \cos 3 x d x\)…
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 equation of the straight line passing through the point of intersection of \(5 x-6 y-1, \quad 3 x+2 y+5=0 \quad\) and perpendicular to the line \(3 x-5 y+11=0\) isTS EAMCET 2017 Medium
- If \(A=\left[\begin{array}{lll}1 & 2 & 2 \\ 2 & 1 & 1 \\ 1 & 2 & 1\end{array}\right]\), then \(\left|\operatorname{Adj}\left(A^2\right)\right|=\)TS EAMCET 2025 Medium
- The ratio in which \(\hat{\mathbf{i}}+2 \hat{\mathbf{j}}+3 \hat{\mathbf{k}}\) divides the join of \(-2 \hat{\mathbf{i}}+3 \hat{\mathbf{j}}+5 \hat{\mathbf{k}}\) and \(7 \hat{\mathbf{i}}-\hat{\mathbf{k}}\) isTS EAMCET 2007 Easy
- A target is to be destroyed in a bombing exercise and there is a \(75 \%\) chance that a bomb will hit the target. Assuming that two direct hits are required to destroy the target completely, the minimum number of bombs to be dropped in order that the probability of destroying the target is not less than \(99 \%\), isTS EAMCET 2020 Hard
- \[ \int_0^2 x^3(2-x)^4 d x= \]TS EAMCET 2023 Medium
- A straight line \(x-2 y-4=0\) is shifted parallel to it by 3 units away from the origin and then rotated by an angle of \(30^{\circ}\) in the anti-clockwise direction. If the slope of the new line formed is \(m\), then the integral part of ' \(m\) ' isTS EAMCET 2018 Hard
More PYQs from TS EAMCET
- Identify the correct statements about the hydrides. (I) In saline hydrides oxidation state of hydrogen is +1 (II) \(\mathrm{La} \mathrm{H}\) is an example of interstitial hydride (III) \(\mathrm{NH}_3, \mathrm{H}_2 \mathrm{O}\) have the tendency to form hydrogen bonds (IV)Electrolysis of molten sodium hydride liberates \(\mathrm{H}_2\) gas at cathode \(\Rightarrow \mathrm{K}_{\mathrm{c}}=\frac{(0.5)(0.5)}{(0.5)(0.5)}=1.0\)TS EAMCET 2023 Medium
- \(\int_2^5 \sqrt{\frac{5-x}{x-2}} d x=\)TS EAMCET 2023 Hard
- If is a differentiable function at such that thenTS EAMCET 2021 Medium
- The correct statements among the following are. (A) \(\mathrm{BeH}_2\) and \(\mathrm{MgH}_2\) are polymeric in nature. (B) \(\mathrm{LiH}\) is unreactive to oxygen, at moderate temperatures. (C) \(\mathrm{BeH}_2\) and \(\mathrm{MgH}_2\) possesses significant covalent character. (D) the stability of alkali hydrides follows the order \(\mathrm{LiH} < \mathrm{NaH} < \mathrm{KH} < \mathrm{RbH} < \mathrm{CsH}\).TS EAMCET 2022 Easy
- If \(\omega\) is a complex cube root of unity, then \((x+1)(x+\omega)(x-\omega-1)\) is equal toTS EAMCET 2010 Easy
- One of the values of \((\sqrt{3}-i)^{\frac{2}{5}}\) isTS EAMCET 2023 Medium