_ ^ ^2 x ;dx is equal to - Vidyadip

MCQ

$\int_{}^{} {{{\tan }^2}x\;dx} $ is equal to

A
$\tan x + x + c$
✓
$\tan x - x + c$
C
$\sec x + x + c$
D
$\sec x - x + c$

✓

Answer

Correct option: B.

$\tan x - x + c$

b
(b)$\int_{}^{} {{{\tan }^2}x\,dx} = \int_{}^{} {({{\sec }^2}x - 1)\,dx} = \tan x - x + c$.

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

JEE STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

The equation of a circle touching the parabola $y = x^2$ at the point $(1, 1)$ and passing through the point $(2, 2)$ is :-

The point $'z'$ in Argand's plane moves such that ${\mathop{\rm Re}\nolimits} \left( {\frac{{iz + 1}}{{iz - 1}}} \right) = 2$ then locus of $z$ is

Bag $A$ contains $3$ white, $7$ red balls and bag $B$ contains $3$ white, $2$ red balls. One bag is selected at random and a ball is drawn from it. The probability of drawing the ball from the bag $\mathrm{A}$, if the ball drawn in white, is :

Let a line having direction ratios $1,-4,2$ intersect the lines $\frac{x-7}{3}=\frac{y-1}{-1}=\frac{z+2}{1}$ and $\frac{x}{2}=\frac{y-7}{3}=\frac{z}{1}$ at the point $A$ and $B$. Then $( AB )^{2}$ is equal to

If $z = (\lambda + 3) + i\sqrt {5 - {\lambda ^2},} $ then the locus of $z$ is a

The slope of the tangent at $(x,y)$to a curve passing through $\left( {1,\frac{\pi }{4}} \right)$is given by $\frac{y}{x} - {\cos ^2}\left( {\frac{y}{x}} \right)$, then the equation of the curve is

Let $R _{1}$ and $R _{2}$ be two relations defined as follows :

$R _{1}=\left\{( a , b ) \in R ^{2}: a ^{2}+ b ^{2} \in Q \right\}$ and $R _{2}=\left\{( a , b ) \in R ^{2}: a ^{2}+ b ^{2} \notin Q \right\}$

where $Q$ is the set of all rational numbers. Then

If the constant term, in binomial expansion of $\left(2 x^{r}+\frac{1}{x^{2}}\right)^{10}$ is $180,$ than $r$ is equal to $......$

If the length of the latus rectum of a parabola, whose focus is $( a , a )$ and the tangent at its vertex is $x+y=a$, is $16 $, then $|a|$ is equal to.

If a curve $\mathrm{y}=\mathrm{f}(\mathrm{x}),$ passing through the point $(1,2),$ is the solution of the differential equation, $2 \mathrm{x}^{2} \mathrm{dy}=\left(2 \mathrm{xy}+\mathrm{y}^{2}\right) \mathrm{dx},$ then $\mathrm{f}\left(\frac{1}{2}\right)$ is equal to