dx x = 1. x +k 2. 2 x +k 3. x+k 4. 2 3 3 2 +k - Vidyadip

Question

$\int\frac{\text{dx}}{\sqrt{\text{x}}}=$

$\sqrt{\text{x}}+\text{k}$
$2\sqrt{\text{x}}+\text{k}$
$\text{x}+\text{k}$
$\frac{2}{3}\times\frac{3}{2}+\text{k}$

✓

Answer

$2\sqrt{\text{x}}+\text{k}$

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 "M.C.Q (1 Marks)" from INTEGRALS→INTEGRALS — all question types→MATHS STD 12 Science question papers→Rajasthan Board STD 12 Science question papers→Rajasthan Board question paper generator→

Similar questions

The direction ratios of the line 6x - 2 = 3y + 1 = 2z - 2 are:

The value of $(2 \hat{i}+3 \hat{j}-5 \hat{k}) \cdot(\hat{i}+\hat{j}+\hat{k})$ is

If the random variable X has the following distribution:

X:	0	1	2	3	4	5	6	7	8
P(X):	a	3a	5a	7a	9a	11a	13a	15a	17a

then the value of a is:

If $A=\left[\begin{array}{cc}\sin ^2 \theta & \sec ^2 \theta \\ \operatorname{cosec}^2 \theta & \frac{1}{2}\end{array}\right]$ and $B=\left[\begin{array}{cc}\cos ^2 \theta & -\tan ^2 \theta \\ -\cot ^2 \theta & \frac{1}{2}\end{array}\right]$ the value of $A + B$ will be :

If $A$ is a square matrix of order $3$ and $|A| = 5,$ then the value of $|2A\ '|$ is$:$

If $\text{A}=\begin{vmatrix}\text{a}_{11}&\text{a}_{12}&\text{a}_{13}\\\text{a}_{21}&\text{a}_{22}&\text{a}_{23}\\\text{a}_{31}&\text{a}_{32}&\text{a}_{33}\end{vmatrix}$ and $C_{ij}$ is cofactor of $a_{ij}$ in a, then value of $|A|$ is given by:

Let $A=\left|\begin{array}{ll}1 & 0 \\ 0 & 0\end{array}\right|$, then

Area of a rectangle having vertices A, B, C and D with position vectors $-\hat{i}+\frac{1}{2}\hat{j}+4\hat{k},\ \hat{i}+\frac{1}{2}\hat{j}+4\hat{k},$ $\hat{i}-\frac{1}{2}\hat{j}+4\hat{k}\ \text{and} \ -\hat{i}-\frac{1}{2}\hat{j}+4\hat{k},$

$\frac{1}{2}$
1
2
4

For what value of $k$, the function $f(x)=\left\{\begin{aligned} k x^2 & \text { if } x \leq 2 \\ 3 & \text { if } x>2\end{aligned}\right.$ is continuous at $x=2$ ?

The value of $\tan^{-1}\Big(\frac{3}{4}\Big)+\tan^{-1}\Big(\frac{1}{7}\Big)$ is:

$\pi$
$\frac{\pi}{2}$
$\frac{3\pi}{4}$
$\frac{\pi}{4}$