Download App

Integrals — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsIntegrals1 Mark
MCQ
$\int_{-\pi / 4}^{\pi / 4} \sec ^2 x d x$ is equal to
  • A
    $-1$
  • B
    $0$
  • C
    $1$
  • ✓
    $2$
✓

Answer

Correct option: D.
$2$
$\text {Let } I=\int_{-\pi / 4}^{\pi / 4} \sec ^2 x d x$
$=[\tan x]_{-\pi / 4}^{\pi / 4}$
$=\tan \frac{\pi}{4}-\tan \left(-\frac{\pi}{4}\right)$
$=1+1$
$=2$

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

Choose the correct answers from the given four options : The set of points where the function $f$ given by $\text{f(x)}=|2\text{x}-1|\sin\text{x}$ is differentiable is :
→
If $tan^{-1 } \frac{1}{1+2}+tan^{-1 } \frac{1}{1+(2)(3)}+ tan^{-1 }\frac{1}{1+(3)(4)}+$ ......$tan^{-1}\frac{1}{{1 + n(n + 1)}}=tan^{-1} \theta,$ then $\theta$ =
→
If the area (in $sq. units$) of the region $\left\{ {\left( {x,y} \right):{y^2} \le 4x,x + y \le 1,x \ge 0,y \ge 0} \right\}$ is $a\sqrt 2  + b$, then $a -b$ is equal to
→
If the matrix A is both symmetric and skew symmetric, then:
→
The order of the matrix $ \displaystyle \left[ \begin{matrix} 1 &\text{amp; }2 \\ 3&\text{amp; } 4 \end{matrix} \right]$ is:
→
$\sin^{-1}(1-\text{x})-2\sin^{-1}\text{x}=\frac{\pi}{2}$
→
Choose the correct answer in Exercise : If $\text{f (a}+\text{b)}-\text{x}=\text{f (x)},$ then $\int^{\text{b}}_{\text{a}}\text{x f (x)}\ \text{dx}$ is equal to
→
Let $M =\left[\begin{array}{lll}0 & 1 & a \\ 1 & 2 & 3 \\ 3 & b & 1\end{array}\right]$ and adj $M =\left[\begin{array}{ccc}-1 & 1 & -1 \\ 8 & -6 & 2 \\ -5 & 3 & -1\end{array}\right]$ where $a$ and $b$ are real numbers. Which of the following options is/are correct?

$(1)$ $a+b=3$

$(2)$ $\operatorname{det}\left(\operatorname{adj} M ^2\right)=81$

$(3)$ $(\operatorname{adj} M)^{-1}+\operatorname{adj} M^{-1}=-M$

$(4)$ If $M \left[\begin{array}{l}\alpha \\ \beta \\ \gamma\end{array}\right]=\left[\begin{array}{l}1 \\ 2 \\ 3\end{array}\right]$, then $\alpha-\beta+\gamma=3$

→
The integrating factor of the differential equation $\left( {{x^2} - 1} \right)\frac{{dy}}{{dx}} + 2xy = x$ is
→
$y = a{e^{mx}} + b{e^{ - mx}}$ satisfies which of the following differential equations
→