`int dx/(sqrt(x + 3) - sqrt(x + 2))` = ______ - Vidyadip

MCQ

`int dx/(sqrt(x + 3) - sqrt(x + 2))` = ______

✓
`2/3[(x + 3)^{3/2} + (x + 2)^{3/2}] + c`
B
`log|sqrt(x + 3) - sqrt(x + 2)| + c`
C
`2/3log|sqrt(x + 3) - sqrt(x + 2)| + c`
D
`(x + 3)^{3/2} + (x + 2)^{2/3} + c`

✓

Answer

Correct option: A.

`2/3[(x + 3)^{3/2} + (x + 2)^{3/2}] + c`

A

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 "MCQ" from MHT CET Maths Model Test 04→MHT CET Maths Model Test 04 — all question types→MHT - CET STD 12 Science question papers→Maharashtra Board STD 12 Science question papers→Maharashtra Board question paper generator→

Similar questions

Which element among the following does NOT form diatomic molecules?

Which of the following is the cause of Graves' disease?

The value of $\lim _{x \rightarrow 0} \frac{1+\sin x-\cos x+\log _e(1-x)}{x^3}$ is ______.

The region XOY - plane which is represented by the inequalities -5 ≤ x ≤ 5, -5 ≤ y ≤ 5 is ______

A pipe closed at one end has a length of 1m and at its open end, 0.25 m long uniform string is vibrating in its third harmonic and resonates with a fundamental frequency of pipe. If the tension in the string is 100 N and the speed of sound is 340 `m/s`, then the mass of the string is near ______

A reaction in which chromyl chloride in presence of $\mathrm{CS}_2$ converts methyl group of toluene to aldehydic group on acid hydrolysis is called _________.

Which cells are play a major role in non-specific defence against viral infections and tumors?

Identify 'B' in the following series of reactions.

$\ce{Ethanol ->[NaBr][H2SO4, \Delta] A ->[Mg][Dry ether] B}$

A bag contains 6 white and 4 black balls. Two balls are drawn at random. The probability that they are of the same colour is ______.

In mutual induction, the main current remains same because ____________.