dx 1+ x = - Vidyadip

MCQ

$\int\frac{\text{dx}}{1+\text{\cos x}}=$

✓
$\tan\frac{\text{x}}{2}+\text{k}$
B
$\frac{1}{2}\tan\frac{\text{x}}{2}+\text{k}$
C
$2\tan\frac{\text{x}}{2}+\text{k}$
D
$\tan^2\frac{\text{x}}{2}+\text{k}$

✓

Answer

Correct option: A.

$\tan\frac{\text{x}}{2}+\text{k}$

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→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

Let A = {1, 2, 3}. Then, the number of relations containing (1, 2) and (1, 3) which are reflexive and symmetric but not transitive is:

${\tan ^{ - 1}}\left[ {\frac{{\cos x}}{{1 + \sin x}}} \right] = $

The maximum value of the object function Z = 5x + 10y subject to the constraints $\text{x}+2\text{y}\leq120,\text{x}+\text{y}\geq60,\text{x}-2\text{y}\geq0,\text{x}\geq0,\text{y}\geq0$ is:

A line with direction ratios $2,1,2$ meets the lines $x=y+2=z$ and $x+2=2 y=2 z$ respectively at the point $P$ and $Q$. if the length of the perpendicular from the point $(1,2,12)$ to the line $\mathrm{PQ}$ is $l$, then $l^2$ is

Time period is a:

Choose the correct answer from the given four options.Solution of the differential equation $\frac{\text{dy}}{\text{dx}}+\frac{\text{y}}{\text{x}}=\sin\text{x}$ is:

$\int\frac{\sin\text{x}}{3+4\cos^2\text{x}}\text{ dx}=$

Let g(x) = 1 + x - [x] and $\text{f(x)}=\begin{cases}-1,&\text{x}<0\\0,&\text{x}=0\\1,&\text{x}>0\end{cases}$ where [x] denotes the greatest integer less than or equal to x. Then for all x, f(g(x)) is equal to:

If A and B are two events such that P(A) = 0.4, P(B) = 0.3 and $\text{P}(\text{A}\cup\text{B})=0.5,$ then $\text{P}(\overline{\text{B}}\cap\text{A})$ equals.

The greatest value of the function $F(x) = \int_1^x {\,\,|t|\,dt} $ on the interval $\left[ { - \frac{1}{2},\,\,\frac{1}{2}} \right]$ is given by