Download App

7.2 definite integral — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMaths7.2 definite integral1 Mark
MCQ
$\int_{\,0}^{\,2\pi } {|\sin x|\,dx = } $
  • A
    $0$
  • B
    $1$
  • C
    $2$
  • ✓
    $4$
✓

Answer

Correct option: D.
$4$
d
(d) $\int_0^{2\pi } {|\sin x|dx = \int_0^\pi {\sin x\,dx + \int_\pi ^{2\pi } { - \sin x\,dx} } } $

$ = [ - \cos x]_0^\pi + [\cos x]_\pi ^{2\pi } = 1 + 1 + 1 + 1 = 4$.

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 7.2 definite integral→7.2 definite integral — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

The area of the region enclosed by the curves $y = x$ and $x = e,y = \frac{1}{x}$ and +ve $ X-$ and the positive $X-$ axis is
→
The differential equation of all parabolas whose axes are parallel to y-axis is:
  1. $\frac{\text{dy}}{\text{dx}}=-\frac{\text{c}^2}{\text{x}^2}$
  2. $\frac{\text{d}^2\text{x}}{\text{dy}^2}=\text{c}$
  3. $\frac{\text{d}^3\text{y}}{\text{dx}^3}+\frac{\text{d}^2\text{x}}{\text{dy}^2}=0$
  4. $\frac{\text{d}^2\text{y}}{\text{dx}^2}+2\frac{\text{dy}}{\text{dx}}=0$
→
Let $\text{A}=\{\text{x}:-1\leq\text{x}\leq1\}$ and f : A → A such that $\text{f(x)}=\text{x}|\text{x}|,$ then f is:
  1. A bijection.
  2. Injective but not surjective.
  3. Surjective but not injective.
  4. Neither injective nor surjective.
→
A particle acted on by constant forces $4i + j - 3k$ and $3i + j - k$  is displaced from the point $i + 2j + 3k$ to the point $5i + 4j + k$. The total work done by the force is ............... $\mathrm{unit}$
→
 Z = 7x + y, subject to $ 5\text{x}+\text{y}\geq5,\text{x}+\text{y}\geq3,\text{x}\geq0, y\geq0.$ The minimum value of Z occurs at:
→
Let $f:[0,2] \rightarrow R$ be a function which is continuous on $[0,2]$ and is differentiable on $(0,2)$ with $f(0)=1$.

Let $F(x)=\int_0^{x^2} f(\sqrt{t}) d t$ for $x \in[0,2]$. If $F^{\prime}(x)=f^{\prime}(x)$ for all $x \in(0,2)$, then $F(2)$ equals

→
The number of real solution of the equation
$\sqrt{1+\cos2\text{x}}=\sqrt2\sin^{-1}(\sin\text{x}),-\pi\leq\text{x}\leq\pi$ is:
  1. 0
  2. 1
  3. 2
  4. infinite
→
If a function $f(x)$ is increasing in an interval $x \in  [a,b]$, then which of the following will always be correct -
→
Differential coefficient of ${x^3}$ with respect to ${x^2}$ is
→
If $I _{ n }=\int_{\frac{\pi}{4}}^{\frac{\pi}{2}} \cot ^{ n } x dx ,$ then :
→