Download App

Question Bank [2022] — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsQuestion Bank [2022]1 Mark
Question
$\int \frac{x}{x+2} d x$
✓

Answer

$\int \frac{x}{x+2} d x=\int \frac{(x+2)-2}{x+2} d x$
$=\int\left(1-\frac{2}{x+2}\right) d x$
$=\int 1 \cdot d x-2 \int \frac{1}{x+2} d x$
$= x -2 \log | x +2|+ c $

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "Answer the following questions in short." from Question Bank [2022]→Question Bank [2022] — all question types→Maths STD 12 Science question papers→Maharashtra Board STD 12 Science question papers→Maharashtra Board question paper generator→

Similar questions

Find the polar co $-$ ordinates of point whose Cartesian co $-$ ordinates are $(1, \sqrt{3})$
→
Find the Cartesian co-ordinates of the point whose polar co-ordinates are $\left(2, \frac{\pi}{4}\right)$
→
Write the negations of the following.All natural numbers are whole numers.
→
If $\overline{ a }=4 \hat{ i }+3 \widehat{ k }$ and $\overline{ b }=-2 \hat{ i }+\hat{ j }+5 \widehat{ k }$, then find $2 \overline{ a }+5 \overline{ b }$
→
Find the principal values of the following :

$\cos ^{-1}\left(-\frac{1}{2}\right)$

→
Write the truth values of the following statements :

In ∆ ABC if all sides are equal then its all angles are equal.

→
Evaluate the following : $\int \frac{\sqrt{x}+1}{x+\sqrt{x}} \cdot d x$
→
Check whether the following matrices are invertible or not. : $\left[\begin{array}{rr}\cos \theta & \sin \theta \\ -\sin \theta & \cos \theta\end{array}\right]$
→
Write the degree of the following differrntial equation $ \Big(\frac{\text{dy}}{\text{dx}}\Big)^{4}+3\text{x}\frac{\text{d}^{2}\text{y}}{\text{dx}^{2}}=0.$
→
Diffrentiate the following w. r. t. x.

$\cot ^{-1}\left(x^3\right)$

→