x^3 x+1 is equal to: - Vidyadip

MCQ

$\int\frac{\text{x}^3}{\text{x}+1}$ is equal to:

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

✓

Answer

Correct option: D.

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

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

Mark the correct alternative in the following question: The probability that a person is not a swimmer is $0.3$. The probability that out of $5$ persons $4$ are swimmers is:

$\int_{\frac{-\pi}{4}}^{\frac{\pi}{4}}\frac{\text{dx}}{1+\cos2\text{x}}\text{dx}$ is equal to:

If a matrix $A$ is such that $3A^3 + 2A^2 + 5A + I = 0,$ then $A^{-1}$ equal to:

Let $f(x) = \left\{ \begin{array}{l}{(1 + |\sin x|)^{a/|\sin x|}},\,\, - \pi /6 < x < 0\\\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,b,\,x = 0\\{e^{\tan 2x/\tan 3x}},\,0 < x < - \pi /6\end{array} \right.$ then the value of $a$ and $b$ if $f$ is continuous at $x = 0$, are respectively

$\lim _{n \rightarrow \infty} \frac{3}{n}\left\{4+\left(2+\frac{1}{n}\right)^2+\left(2+\frac{2}{n}\right)^2+\ldots+\left(3-\frac{1}{n}\right)^2\right\}$ is equal to

Choose the correct answer from the given four options. Let $f : A \rightarrow B$ and $g : B \rightarrow C$ be the bijective functions. Then $(gof)^{-1}$ is:

The order of the differential equation whose general solution is given by $y = {C_1}{e^{2x + {C_2}}} + $ ${C_3}{e^x} + {C_4}\sin (x + {C_5})$ is

Let $f(x)=\frac{x+1}{x-1}$ for all $x \neq 1$. Let $f^1(x)=f(x), f^2(x)=f(f(x))$ and generally $f^n(x)=f\left(f^{n-1}(x)\right)$ for $n>1$. Let $P=f^1(2) f^2(3) f^3(4) f^4(5)$ Which of the following is a multiple of $P$ ?

Inverse of the matrix $\left( {\begin{array}{*{20}{c}}1&{ - 2}\\3&4\end{array}} \right)$ is

The vector component of $\vec{\text{b}}$ perpendicular to $\vec{\text{a}}$ is: