The value of 1 ^2 x ^2 x d x is - Vidyadip

MCQ

The value of $\int \frac{1}{\sin ^2 x \cdot \cos ^2 x} d x$ is

A
$\sec x+\tan x+c$
B
$\sin x+\cos x+c$
C
$0$
✓
$\tan x-\cot x+c$

✓

Answer

Correct option: D.

$\tan x-\cot x+c$

$\tan x-\cot x+c$

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 "M.C.Q (1 Marks)" from [ Question Bank ]→[ Question Bank ] — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

At present, a firm is manufacturing $2000$ items. It is estimated that the rate of change of production $P$ w.r.t. additional number of workers $x$ is given by $\frac{{dp}}{{dx}} = 100 - 12\sqrt x $ . If the firm employs $25 $ more workers, then the new level of production of itmes is

If a straight line $y - x = 2$ divides the region ${x^2} + {y^2} \le 4$ into two parts , then the ratio of the area of the smaller part to the area of the greater part is

The function $f:R \to R,\;f(x) = {x^2},\forall x \in R$ is

Choose the correct answers from the given four options : If $\text{y}=\log\Big(\frac{1-\text{x}^2}{1+\text{x}^2}\Big),$ then $\frac{\text{dy}}{\text{dx}}$ is equal to :

In a box of $10$ electric bulbs, two are defective. Two bulbs are selected at random one after the other from the box. The first bulb after selection being put back in the box before making the second selection. The probability that both the bulbs are without defect is

Evaluate: $\int \frac{10 x^9+10^x \log _e 10}{10^x+x^{10}} d x$

If $\begin{bmatrix}\text{r}+4&\text{amp; 6}\\3&\text{amp; 3}\end{bmatrix}=\begin{bmatrix}{5}&\text{amp;}\text{ r}+5\\\text{r+2}&\text{amp; 4}\end{bmatrix}$ then $\text{r}=$

An article manufactured by a company consists of two parts X and Y. In the process of manufacture of the part X. 9 out of 100 parts may be defective. Similarly 5 out of 100 are likely to be defective in part Y. Calculate the probability that the assembled product will not be defective.

If $A = \left[ {\begin{array}{*{20}{c}}0&2&0\\0&0&3\\{ - 2}&2&0\end{array}} \right]$and $B = \left[ {\begin{array}{*{20}{c}}1&2&3\\3&4&5\\5&{ - 4}&0\end{array}} \right]$, then the element of $3^{rd}$ row and third column in $AB$ will be

If the function $f(x)=\left\{\begin{array}{cc}(1+|\cos x|) \frac{\lambda}{|\cos x|} & , 0 < x < \frac{\pi}{2} \\ \mu & , x=\frac{\pi}{2} \\ e^{\frac{\cot 6 x}{\cot 4 x }} & , \frac{\pi}{2} < x < \pi\end{array}\right.$ is continuous at $x =\frac{\pi}{2}$, then $9 \lambda+6 \log _{ e } \mu+\mu^6- e ^{6 \lambda}$ is equal to