cosec^2 x ^2 x d x= ___________ + C . - Vidyadip

MCQ

$\int \frac{\operatorname{cosec}^2 x}{\sec ^2 x} d x=$ ___________ + C .

✓
$\tan x-x$
B
$-\cot x-x$
C
$\cot x-x$
D
$-\cot x+x$

✓

Answer

Correct option: A.

$\tan x-x$

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 "M.C.Q (1 Marks)" from MARCH 2024→MARCH 2024 — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

If $\sqrt {(1 - {x^6})} + \sqrt {(1 - {y^6})} = {a^3}({x^3} - {y^3})$, then ${{dy} \over {dx}} = $

Let $y(x)$ be the solution of the differential equation $2 x^{2} d y+\left(e^{y}-2 x\right) d x=0, x>0$. If $y(e)=1$, then $\mathrm{y}(1)$ is equal to :

Consider the following statements in respect of the differential equation $\frac{\text{d}^2\text{y}}{\text{d}\text{x}^2}+\cos\Big(\frac{\text{dx}}{\text{dy}}\Big)=0:$
1. The degree of the differential equation is not defined.
2. The order of the differential equation is 2.
Which of the above statements is/are correct ?

1 only
2 only
Both 1 and 2
not defined

A curve satisfying the initial condition, $y(1) = 0,$ satisfies the differential equation, $x \frac{{dy}}{{dx}} = y -x^2.$ The area bounded by the curve and the $x-$ axis is

If ${\sin ^{ - 1}}a + {\sin ^{ - 1}}b + {\sin ^{ - 1}}c = \pi ,$ then the value of $a\sqrt {(1 - {a^2})} + b\sqrt {(1 - {b^2})} + c\sqrt {(1 - {c^2})} $ will be

A bag contains 5 red and 3 blue balls are drawn at random without replacement, then the probability of getting exactly one red ball is.

$\frac{15}{29}$
$\frac{15}{56}$
$\frac{45}{196}$
$\frac{135}{392}$

Let $\vec u = a\hat i + b\hat j + c\hat k$ , $\vec v = b\hat i + c\hat j + a\hat k\,\,$ $\vec w = c\hat i + a\hat j + b\hat k = \lambda \vec x + \mu \vec y$ where $\left[ {\vec u\,\,\vec v\,\,\vec w} \right] = 0\,\ \,\,\left( {a + b + c} \right),\,\,\lambda ,\mu \ne 0$ then the vectors $\vec x,\vec y,\vec u,\vec v,\vec w$ are

In the feasible region, any point which given the optimal value (maximum or minimum) of the objective function, is called :

If ${\sin ^{ - 1}}\frac{3}{5} + {\cos ^{ - 1}}\left( {\frac{{12}}{{13}}} \right) = {\sin ^{ - 1}}C,$ then $ C =$

The domain of $\cos^{-1}\big(\text{x}^2-4\big)$ is:

$[3,5]$
$[-1,1]$
$\Big[-\sqrt5,-\sqrt3\Big]\cup\Big[\sqrt3,\sqrt5\Big]$
$\Big[-\sqrt5,-\sqrt3\Big]\cap\Big[\sqrt3,\sqrt5\Big]$