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

MCQ

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

$\int_0^{\pi /2} {\frac{{\cos x}}{{(1 + \sin x)(2 + \sin x)}}} \,dx = $

The area bounded by the parabola $y^2= 4ax,$ latus rectum and $x-$axis is:

Choose the correct answer from the given four options.The value of $\cot\Big[\cos^{-1}\Big(\frac{7}{25}\Big)\Big]$ is:

If matrix $A = \left[ {\begin{array}{*{20}{c}}0&{ - 1}\\1&0\end{array}} \right]$, then ${A^{16}} = $

$\mathop {\lim }\limits_{n \to \infty } \sum\limits_{r = 1}^n {\frac{1}{n}{e^{\frac{r}{n}}}} $ is

If R is a relation on the set A = {1, 2, 3} given by R = {(1, 1), (2, 2), (3, 3)}, then R is:

The derivative of ${\tan ^{ - 1}}\left( {{{\sqrt {1 + {x^2}} - 1} \over x}} \right)$ with respect to ${\tan ^{ - 1}}\left( {{{2x\sqrt {1 - {x^2}} } \over {1 - 2{x^2}}}} \right)$ at $x = 0$, is

If the system of linear equations

$7 x+11 y+\alpha z=13$

$5 x+4 y+7 z=\beta$

$175 x+194 y+57 z=361$

has infinitely many solutions, then $\alpha+\beta+2$ is equal to

What is the solution of the differential equation$:\text{In}\Big(\frac{\text{dx}}{\text{dy}}\Big)-\text{a}=0?$

The length of the perpendicular drawn from the point $(5, 4, -1)$ on the line $\frac{{x - 1}}{2} = \frac{y}{9} = \frac{z}{5}$ is