^2x- ^2x ^2x ^2x dx is equal to : - Vidyadip

MCQ

$\int\frac{\sin^2\text{x}-\cos^2\text{x}}{\sin^2\text{x}\cos^2\text{x}}\text{dx}$ is equal to :

A
$\tan\text{x}+\cos\text{x}+\text{c}$
B
$\tan\text{x}+\text{cosec}\ \text{x}+\text{c}$
✓
$\tan\text{x}+\text{cot}\ \text{x}+\text{c}$
D
$\tan\text{x}+\sec\text{x}+\text{c}$

✓

Answer

Correct option: C.

$\tan\text{x}+\text{cot}\ \text{x}+\text{c}$

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 Integrals→Integrals — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

The identity element in the group $M = \left\{ {\left. {\left( {\begin{array}{*{20}{c}}x&x\\x&x\end{array}} \right)} \right|x \in R;\,x \ne 0\,} \right\}$ with respect to matrix multiplication is

If $a, b, c$ are all different and $\left| {\,\begin{array}{*{20}{c}}a&{{a^3}}&{{a^4} - 1}\\b&{{b^3}}&{{b^4} - 1}\\c&{{c^3}}&{{c^4} - 1}\end{array}\,} \right|$ = $0$ , then the value of $abc(ab + bc + ca)$ is

Let $X$ represent the difference between the number of heads and the number of tails obtained when a coin is tossed $6$ times. What are possible values of $X\ ?$

$\left| {\,\begin{array}{*{20}{c}}{{{\log }_3}512}&{{{\log }_4}3}\\{{{\log }_3}8}&{{{\log }_4}9}\end{array}\,} \right| \times \left| {\,\begin{array}{*{20}{c}}{{{\log }_2}3}&{{{\log }_8}3}\\{{{\log }_3}4}&{{{\log }_3}4}\end{array}\,} \right|=$

If $\int \limits_0^1\left(x^{21}+x^{14}+x^7\right)\left(2 x^{14}+3 x^7+6\right)^{1 / 7} d x=\frac{1}{l}(11)^{m / n}$ where $l, m , n \in N , m$ and $n$ are coprime then $l+m+n$ is equal to $...........$.

If the system of equations

$ x+(\sqrt{2} \sin \alpha) y+(\sqrt{2} \cos \alpha) z=0 $

$ x+(\cos \alpha) y+(\sin \alpha) z=0 $

$ x+(\sin \alpha) y-(\cos \alpha) z=0$

has a non-trivial solution, then $\alpha \in\left(0, \frac{\pi}{2}\right)$ is equal to :

$\int_{}^{} {\frac{{dx}}{{1 - \sin x}}} = $

If $f:R \to S$ defined by $f(x) = \sin x - \sqrt 3 \cos x + 1$ is onto, then the interval of $S$ is

In which of the function is one-one-

Lef $f:(0, \pi) \rightarrow R$ be a function given by

$f(x)=\left\{\begin{array}{cc}\left(\frac{8}{7}\right)^{\frac{\tan 8 x}{\tan 7 x}}, & 0 < x < \frac{\pi}{2} \\ a-8, & x=\frac{\pi}{2} \\ (1+\mid \cot x)^{\frac{b}{a}|\tan x|}, & \frac{\pi}{2} < x < \pi\end{array}\right.$

Where $a, b \in Z$. If $f$ is continuous at $x=\frac{\pi}{2}$, then $\mathrm{a}^2+\mathrm{b}^2$ is equal to ..........