Let \( f(x) \) be a continuous function such that the area bounded by the curve \( v=f(x) \), th....

Channel:
Subscribers:
447,000
Published on ● Video Link: https://www.youtube.com/watch?v=Com8ScU8WL8



Duration: 2:25
2 views
0


Let \( f(x) \) be a continuous function such that the area
\( \mathrm{P} \)
bounded by the curve \( v=f(x) \), the \( x \)-axis and the
W
two ordinates \( x=0 \) and \( x=a \) is \( \frac{a^{2}}{2}+\frac{a}{2} \sin a+\frac{\pi}{2} \cos \) \( a \), then \( f(\pi / 2) \) is
(1) \( \frac{1}{2} \)
(2) \( \frac{\pi^{2}}{8}+\frac{\pi}{4} \)
(3) \( \frac{\pi+1}{2} \)
(4) None of these


šŸ“²PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live




Other Videos By PW Solutions


2024-01-21If \( f(x)=\max \left\{\sin x, \cos x, \frac{1}{2}\right\} \) then the area of the region bounde....
2024-01-21The area of the figure bounded by the curves \( y=\mid x- \) \( 1 \mid \) and \( y=3-|x| \) is W....
2024-01-21The triangle formed by the tangent to the curve \( f(x) \) \( =x^{2}+b x-b \) at the point \( (1....
2024-01-21The area of region enclosed by the curves \( y=x^{2} \) and \( y=\sqrt{|x|} \) is:....
2024-01-21Let \( f(x) \) be a differentiable function in \( [-1, \infty) \) and \( f(0)=1 \) such that \[ ....
2024-01-21The area bounded by the curves \( y=\ln x, y=\ln |x|, y \) \( =|\ln x| \) and \( y=|\ln | x|| \)....
2024-01-21List-I contains the function and List-II contains their derivatives at \( x=0 \) \begin{tabular}....
2024-01-21The area bounded by the curve \( y=|x|-1 \) and \( y=- \) \( |x|+1 \) is:....
2024-01-21The value of \( c \) for which the area of the figure bounded by the curve \( y=8 x^{2}-x^{5} \)....
2024-01-21The area of the figure bounded by two branches of the curve \( (y-x)^{2}=x^{3} \) and the straig....
2024-01-21Let \( f(x) \) be a continuous function such that the area bounded by the curve \( v=f(x) \), th....
2024-01-21The area bounded by \( y=x e^{|x|} \) and lines. \( |x|=1, y=0 \) is W)....
2024-01-21The area of the region bounded by \( 1-y^{2}=|x| \) and \( |x| \) \( +|y|=1 \) is W)....
2024-01-21The area between the curve \( y=2 x^{4}-x^{2} \), the \( x \)-axis and the ordinates of two mini....
2024-01-21The slope of the tangent to a curve \( y=f(x) \) at \( (x, f(x)) \) is \( 2 x+1 \). If the curve....
2024-01-21A differentiable function satisfy the relation \( \ln (f(x+y))=\ln (f(x)) . \ln (f(y)) \forall x....
2024-01-21Let \( f(x)=\min [x+1, \sqrt{(1-x)}] \). Then area bounded by \( f(x) \) and \( x \)-axis is....
2024-01-21Let \( f(x)=\cos ^{-1}\left(2 x^{2}-1\right) \) then....
2024-01-21If \( y=e^{\sqrt{x}} \) then the value of \( \left[4 \cdot y^{\prime}(4)\right] \) (where \( [\c....
2024-01-21If \( f(\theta)=\tan \left(\sin ^{-1} \sqrt{\frac{2}{3+\cos 2 \theta}}\right) \) then :....
2024-01-21A differentiable function satisfy the relation \( \ln (f(x+y))=\ln (f(x)) . \ln (f(y)) \forall x....