Single Option Correct Type Questions \[ \int_{-4}^{4} \frac{\sin ^{-1}(\sin x)+\cos ^{-1}(\cos x...

Channel:
PW Solutions
Subscribers:
443,000
Published on ● Video Link: https://www.youtube.com/watch?v=3W13pY5XJLQ


Duration: 8:36
0 views
0

Single Option Correct Type Questions
\[
\int_{-4}^{4} \frac{\sin ^{-1}(\sin x)+\cos ^{-1}(\cos x)}{\left(1+x^{2}\right)\left(1+\left[\frac{x^{2}}{17}\right]\right)} d x=\log \left(\frac{\left(1+x^{2}\right)}{a}\right)
\]
\( +b \pi \tan ^{-1}\left(\frac{c-\pi}{1+c \pi}\right) \) (where, [.] denotes greatest integer function), then number of ways in which \( a-(2 b+c) \) distinct object can distributed among \( \frac{a-5}{c} \) persons equally, is
(a) \( \frac{9 !}{(3 !)^{3}} \)
(b) \( \frac{12 !}{(4 !)^{3}} \)
(c) \( \frac{15 !}{(5 !)^{3}} \)
(d) \( \frac{10 !}{(6 !)^{3}} \times 3 ! \cdot \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live



Other Videos By PW Solutions


2022-10-28Questions Asked in Previous 10 Years' Exams - Directions Let \( f:[0,1] \rightarrow R \) (the se...
2022-10-28Questions Asked in Previous 10 Years' Exams If \( y(x) \) satisfies the differential equation \(...
2022-10-28Questions Asked in Previous 10 Years' Exams The function \( y=f(x) \) is the solution of the dif...
2022-10-28Questions Asked in Previous 10 Years' Exams A curve passes through the point \( \left(1, \frac{\...
2022-10-28The solution of \( \frac{d y}{d x}=\left(\frac{x+2 y-3}{2 x+y+3}\right)^{2} \), is \( (\mathrm{a...
2022-10-28Questions Asked in Previous 10 Years' Exams Let \( f:[-1,2] \rightarrow[0, \infty) \) be a conti...
2022-10-28Single Integer Answer Type Questions Let \( y(x) \) be a function satisfying \( d^{2} y / d x^{2...
2022-10-28More than One Option Correct Type Questions The graph of the function \( y=f(x) \) passing throu...
2022-10-28Single Integer Answer Type Questions The value of \( c+2 \) for which the area of the figure bou...
2022-10-28Questions Asked in Previous 10 Years' Exams If the straight line \( x=b \) divide the area enclo...
2022-10-28Single Option Correct Type Questions \[ \int_{-4}^{4} \frac{\sin ^{-1}(\sin x)+\cos ^{-1}(\cos x...
2022-10-28If \( \alpha, \beta, \gamma \) are the roots of \( x^{3}+2 x^{2}-x-3=0 \) The value of \( \left|...
2022-10-28Subjective Type Questions Evaluate \( \int \frac{(2 \sin \theta+\sin 2 \theta) d \theta}{(\cos \...
2022-10-28Single Option Correct Type Questions Suppose that the quadratic function \( f(x)=a x^{2}+b x+c \...
2022-10-28For any integer \( n \), the value of \( \int_{0}^{\pi} e^{\cos ^{2} x} \cdot \cos ^{3}(2 n+1) x...
2022-10-28The value of \( \int_{0}^{\pi / 4} \log (1+\tan \theta) d \theta \) is equal to (a) \( \frac{\pi...
2022-10-28\( \int_{a}^{b} \sqrt{\frac{x-a}{b-x}} d x \)
2022-10-28\( \int_{0}^{\pi / 4} e^{\sin x}\left(\frac{x \cos ^{3} x-\sin x}{\cos ^{2} x}\right) d x \)
2022-10-28Single Option Correct Type Questions \( \int \frac{d x}{\cos (2 x) \cos (4 x)} \) is equal to (a...
2022-10-28\( \int_{a}^{b} \frac{1}{\sqrt{(x-a)(b-x)}} d x, ba \)
2022-10-28\( \int_{1}^{2} \frac{d x}{\sqrt{x}-\sqrt{x-1}} \)


Tags:
pw