_0^3 , ( 1 x^2 , , + , ,4 ,x , , + , ,4 , , , + , , , x^2 , , - ,… - Vidyadip

MCQ

$\int\limits_0^3 \, \left( {\frac{1}{{\sqrt {{x^2}\,\, + \,\,4\,x\,\, + \,\,4} }}\,\,\, + \,\,\,\sqrt {{x^2}\,\, - \,\,4\,x\,\, + \,\,4} \,} \right)\, dx =$

A
ln $\frac{5}{2}\,\, - \,\,\frac{3}{2}$
B
ln $\frac{5}{2}\,\, + \,\,\frac{3}{2}$
✓
ln $\frac{5}{2}\,\, + \,\,\frac{5}{2}$
D
none

✓

Answer

Correct option: C.

ln $\frac{5}{2}\,\, + \,\,\frac{5}{2}$

c
$I = \int\limits_0^3 {(\frac{1}{{|x + 2|}} + |x - 2|\,)\,dx} $ $= \int\limits_0^3 {\frac{{dx}}{{x + 2}}\,dx} $ $+ \int\limits_0^3 {|x + 2|\,dx} $

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 - 7.2 definite integral→STD 12 - 7.2 definite integral — all question types→Mathematics STD 12 Science question papers→CBSE Board STD 12 Science question papers→CBSE Board question paper generator→

Similar questions

$\int_{-2}^{2}|\text{x}|\text{dx}=$

Let the function $f:R \to R$ be defined by $f(x) = 2x + \sin x,\;x \in R$. Then $f$ is

If $x = {\sin ^{ - 1}}(3t - 4{t^3})$ and $y = {\cos ^{ - 1}}\,\,\sqrt {(1 - {t^2})} $, then ${{dy} \over {dx}}$ is equal to

$\int_{}^{} {\frac{{\tan x}}{{\sec x + \tan x}}\;dx = } $

Let $ABC = I$ then $tr(ABC + BCA + CAB)$ is (where order of matrices $A, B, C$ is $3$ and $tr(A)$ is sum of diagonal elements in $A$)

If $\vec a,\vec b,\vec c$ are non- zero and non-coplanar vectors such that $\left( {\vec a + \lambda \vec b} \right).\left[ {\left( {\vec b + 3\vec c} \right) \times \left( {\vec c - 4\vec a} \right)} \right] = 0$ , then $\lambda $ is equal to

If $y= \text{log} , x$ then the value of $\frac{d y}{d x}$ is

The direction cosines of a line equally inclined to three mutually perpendicular lines having direction cosines as ${l_1},{m_1},{n_1};{l_2},{m_2},{n_2}$ and ${l_3},{m_3},{n_3}$ are

The solution of the differential equation $(\text{x}^{2}+1)\frac{\text{dy}}{\text{dx}}+(\text{y}^{2}+1)=0$ is:

In order to maximize the profit of the company, the optimal solution of which of the following equations is required?