Solve: x^2+1 x^2+1 dx= 1. 1 + C 2. x2 + C 3. x + C 4. 0 - Vidyadip

Question

Solve: $\int\frac{\text{x}^2+1}{\text{x}^2+1}\text{dx}=$

1 + C
x² + C
x + C
0

✓

Answer

x + C

Solution:

Now, $\int\frac{\text{x}^2+1}{\text{x}^2+1}\text{dx}$

$=\int\text{dx}$

= x + C [Where C is integrating constant]

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_{}^{} {{x^2}\sec {x^3}\;dx} = $

The number of bijective functions from set $A$ to itself when $A$ contains 106 elements is

If the magnitudes of two vectors $\vec{a}$ and $\vec{b}$ are $\sqrt{3}$ and 2 respectively and $\vec{a} \cdot \vec{b}=\sqrt{6}$. Then the angle between $\vec{a}$ and $\vec{b}$ is:

The domain of the function $\text{f(x)}=\frac{1}{\sqrt{\{\sin\text{x}\}+\{\sin(\pi+\text{x})}\}}$ where {.} denotes fractional part, is:

$[0,\pi]$
$(2\text{n}+1)\frac{\pi}{2},\text{n }\in\text{ z}$
$(0,\pi)$
None of these.

If A and B are two events such that $\text{P}(\text{A}|\text{B})=\text{p},\text{P(A)}=\text{p},\text{P(B)}=\frac{1}{3}$ and $\text{P}(\text{A}\cup\text{B})=\frac{5}{9},$ then p =

$\frac{2}{3}$
$\frac{3}{5}$
$\frac{1}{3}$
$\frac{3}{4}$

Let $\alpha$ be a root of the equation

$(a-c) x^2+(b-a) x+(c-b)=0$ where $a, b, c$ are distinct real numbers such that the matrix

$\left[\begin{array}{ccc}\alpha^2 & \alpha & 1 \\1 & 1 & 1 \\a & b & c\end{array}\right]$

is singular. Then the value of

$\frac{(a-c)^2}{(b-a)(c-b)}+\frac{(b-a)^2}{(a-c)(c-b)}+\frac{(c-b)^2}{(a-c)(b-a)}$

The area (in sq. units) of the region described by $A = \{ (x,y)|y \ge {x^2} - 5x + 4,\,x + y \ge 1,\,y \le 0\} $ is

The value of $\int_0^{\pi /2} {\frac{{dx}}{{1 + {{\tan }^3}x}}} $ is

Let $\vec a = 2\hat i + \hat j - 2\hat k,\,\vec b = \hat i + \hat j$ . If $\vec c$ is a vector such that $\vec a.\vec c + 2\left| {\vec c} \right| = 0$ and $\left| {\vec c - \vec a} \right| = \sqrt {14} $ and angle between $\vec a \times \vec b$ and $\vec c$ is $30^o$ , then $\left| {\left( {\vec a \times \vec b} \right) \times \vec c} \right|$ is

$\int {{{\cos }^{ - 3/7}}} x{\sin ^{ - 11/7}}x\,\,dx = $