x^4+1 x^2+1 dx is equal to: - Vidyadip

MCQ

$\int\frac{\text{x}^4+1}{\text{x}^2+1}\text{ dx}$ is equal to:

A
$\frac{\text{x}^3}{3}+\text{x}+\tan^{-1}\text{x}+\text{c}$
B
$\frac{\text{x}^3}{3}-\text{x}+\tan\text{x}+\text{c}$
C
$\frac{\text{x}^3}{3}+\text{x}+2\tan^{-1}\text{x}+\text{c}$
✓
$\frac{\text{x}^3}{3}-\text{x}+2\tan^{-1}\text{x}+\text{c}$

✓

Answer

Correct option: D.

$\frac{\text{x}^3}{3}-\text{x}+2\tan^{-1}\text{x}+\text{c}$

$\frac{\text{x}^3}{3}-\text{x}+2\tan^{-1}\text{x}+\text{c}$

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

A man tosses a coin $10$ times, scoring $1$ point for each head and $2$ points for each tail. Let $P(K)$ be the probability of scoring at least $K$ points. The largest value of $K$ such that $P(K) > \frac{1}{2}$ is

The feasible region corresponding to the linear constraints of a Linear Programming Problem is given below

Which of the following is not a constraint to the given Linear Programming Problem?

The number of all possible matrices of order 2 x 3 with each entry 1 or 2 is

If $I$ is the greatest of the definite integrals

${I_1} = \int_0^1 {{e^{ - x}}{{\cos }^2}x\,dx} , \,\, {I_2} = \int_0^1 {{e^{ - {x^2}}}} {\cos ^2}x\,dx$

${I_3} = \int_0^1 {{e^{ - {x^2}}}dx} ,\,\,{I_4} = \int_0^1 {{e^{ - {x^2}/2}}dx} ,$ then

The function $\text{f{x}}\begin{cases}1,&|\text{x}|\geq1\\\frac{1}{\text{n}^2},&\frac{1}{\text{n}}<|\text{x}|<\frac{1}{\text{n}-1},\text{n}=2,3,...\end{cases}$

The length of the perpendicular drawn from the point (4, -7, 3) on the y-axis is:

$\mathop \smallint \limits_2^4 \frac{{\log {x^2}}}{{\log {x^2} + {\rm{log}}\left( {36 - 12x + {x^2}} \right)}}\;dx = $

Choose the correct answer The maximum value of $[\text{x(x}-1)+1]^\frac{1}{3},0\leq\text{x}\leq1]\text{is:}$

What is the value of $ \sin-1(\sin 6)?$

$\int_{}^{} {\frac{{x\;dx}}{{1 - x\cot x}}} = $