[ ( x)+ ( x)] d x= - Vidyadip

MCQ

$\int[\sin (\log x)+\cos (\log x)] \cdot d x=$

A
x cos(log x) + c
B
sin(log x) + c
C
cos(log x) + c
✓
x sin(log x) + c

✓

Answer

Correct option: D.

x sin(log x) + c

x sin(log x) + 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 "MCQ" from Indefinite Integration→Indefinite Integration — all question types→Maths STD 12 Science question papers→Maharashtra Board STD 12 Science question papers→Maharashtra Board question paper generator→

Similar questions

$\text{f}(\text{x})=2\text{x}-\tan^{-1}-\log\Big\{\text{x}+\sqrt{\text{x}^2+1}\Big\}$ is monotonically increasing when:

The vector equation of the plane $\overline{ r }=(3 \hat{ i }+\hat{ j })+\lambda(-\hat{ j }+\hat{ k })+\mu(\hat{ i }+2 \hat{ j }+3 \hat{ k })$ in scalar product form is

The proposition $p \rightarrow \sim(p\wedge \sim q)$ is a

If $\bar{a}, \bar{b}$ and $\bar{c}$ are unit vectors such that $\overline{ a }+\overline{ b }+\overline{ c }=\overline{0}$ and angle between $\overline{ a }$ and $\overline{ b }$ is $\frac{\pi}{3}$, then $|\overline{ a } \times \overline{ b }|+|\overline{ b } \times \overline{ c }|+|\overline{ c } \times \overline{ a }|=$

The equation of the normal to the curve $\text{y}=\text{x}+\sin\text{x}\cos\text{x}\text{ at }\text{x}=\frac{\pi}{2}$ is

If the p.d.f. of a continuous random variable $X$ is given as
$
f(x)=\frac{x^2}{3},-1$
$=0$, otherwise then c.d.f. of $X$ is

If the area of triangle with vertices $\hat{i}+y \hat{j}, \hat{i}+2 \hat{k}$ and $3 \hat{j}+\hat{k}$ is $\sqrt{6}$ sq. units, then the values of $y$ are

The statement $[p \wedge(q \vee r)] \vee[\sim r \wedge \sim q \wedge p]$ is equivalent to

Let $I _1=\int_e^{e^2} \frac{d x}{\log x}$ and $I _2=\int_1^2 \frac{e^x}{X} \cdot d x$, then

If $\text{y}=\frac{\text{ax}+\text{b}}{\text{x}^2+\text{c}},$ then $(2\text{xy}_1+\text{y})\text{y}_3=$