x+sin x 1+cos x dx is equal to: - Vidyadip

MCQ

$\int\frac{\text{x+sin x}}{1+\text{cos x}} \ \text{dx}$ is equal to:

A
$\log|1+\cos\text{x}|+\text{c}$
B
$\log|\text{x}+\sin\text{x}|+\text{c}$
C
$\text{x}-\tan+\text{c}$
✓
$\text{x}.\text{tan}\frac{\text{x}}{2}+\text{c}$

✓

Answer

Correct option: D.

$\text{x}.\text{tan}\frac{\text{x}}{2}+\text{c}$

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

If $A = \left[ {\begin{array}{*{20}{c}}
{\cos \,\theta }&{ - \sin \,\theta }\\
{\sin \,\theta }&{\cos \,\theta }
\end{array}} \right]$, then the matrix ${A^{ - 50}}$ when $\theta = \frac{\pi }{{12}}$ is equal to

If $AB = C$, then matrices $A,B,C$are

Which of the following equation is linear

If $f(x) =\frac{3\text{x}+2}{5\text{x}-3}$ then $\text{(fof)(x)}$ is:

If $a ^* b=a^2+b^2$, then the value of $(4 ^* 5) ^* 3$ is:

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

If $\cos ^{-1} \alpha+\cos ^{-1} \beta+\cos ^{-1} \gamma=3 \pi$, then $\alpha(\beta+\gamma)+\beta(\gamma+\alpha)+\gamma(\alpha+\beta)$ equals

In a binomial distribution, the probability of getting success is $\frac{1}{4}$ and standard deviation is $3$. Then, its mean is:

The solution of $\frac{{dy}}{{dx}} = \frac{{{e^x}({{\sin }^2}x + \sin 2x)}}{{y(2\log y + 1)}}$ is

$ \sin^{-1}\text{⁡x}+\cos^{1}\text{⁡x}= $