x^2 , + ,2 x^4 , + ,4 , ,dx is equal to - Vidyadip

MCQ

$\int {\frac{{{x^2}\, + \,2}}{{{x^4}\, + \,4}}} \,\,dx$ is equal to

A
$\frac{1}{2}\,\,\,{\tan ^{ - 1}}\,\,\frac{{{x^2} + 2}}{{2x}}\,\, + \,\,C$
B
$\frac{1}{2}\,\,\,{\tan ^{ - 1}}\,\,({x^2} + 2)\, + \,\,C$
C
$\frac{1}{2}\,\,\,{\tan ^{ - 1}}\,\,\frac{{2x}}{{{x^2} - 2}}\,\, + \,\,C$
✓
$\frac{1}{2}\,\,\,{\tan ^{ - 1}}\,\,\frac{{{x^2} - 2}}{{2x}}\,\, + \,\,C$

✓

Answer

Correct option: D.

$\frac{1}{2}\,\,\,{\tan ^{ - 1}}\,\,\frac{{{x^2} - 2}}{{2x}}\,\, + \,\,C$

d

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 STD 12 - 7.1 inderfinite integral→STD 12 - 7.1 inderfinite integral — all question types→Mathematics STD 12 Science question papers→CBSE Board STD 12 Science question papers→CBSE Board question paper generator→

Similar questions

If in a $\triangle\text{ABC}$, $\text{A}=(0,0),\ \text{B}=(3,3\sqrt3),\ \text{C}=(-3\sqrt3,3)$, then the vecctor of magnitude $2\sqrt2$ units directed along AO, where O is the circumcenter of $\triangle\text{ABC}$ is,

$( S 1): \lim _{ n \rightarrow \infty} \frac{1}{ n ^2}(2+4+6+\ldots \ldots \ldots+2 n)=1$

(S2) : $\lim _{ n \rightarrow \infty} \frac{1}{ n ^{16}}\left(1^{15}+2^{15}+3^{15}+\ldots \ldots \ldots .+ n ^{15}\right)=\frac{1}{16}$

If $\int\frac{1}{5+4\sin\text{x}}\text{ dx}=\text{A}\tan^{-1}\Big(\text{B}\tan\frac{\pi}{2}+\frac{4}{3}\Big)+\text{C},$ then:

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

Two matrices of same order are said to be equal if the ______ of the two matrices are equal.

Let $A =\left[\begin{array}{ll} a & b \\ c & d \end{array}\right]$ and $B =\left[\begin{array}{l}\alpha \\ \beta\end{array}\right] \neq\left[\begin{array}{l}0 \\ 0\end{array}\right]$ such that
$AB = B$ and $a + d =2021,$ then the value of $ad - bc$ is equal to ...... .

If $\text{y}=\text{a}\cos(\log_\text{e}\text{x})+\text{b}\sin(\log_\text{e}\text{x})$ then $\text{x}^2\text{y}^2+\text{xy}_1=$

Let $A=\{0,1,2,3,4,5,6,7\} .$ Then the number of bijective functions $f: A \rightarrow A$such that $f(1)+f(2)=3-f(3)$ is equal to $.....$

For a binomial variate X, if $\text{n}=3$ and $\text{P(X}=1)=8\text{ P(X = 3}),$ then p =

For which of the following ordered pairs $(\mu, \delta)$ the system of linear equations $x+2 y+3 z=1$ ; $3 x+4 y+5 z=\mu$ ; $4 x+4 y+4 z=\delta$ is inconsistent?