If the area bounded by the curve \( y=(x-1)(x-2)(x-3) \) lying between the ordinates \( x=0 \) a...

Channel:
Subscribers:
445,000
Published on ● Video Link: https://www.youtube.com/watch?v=yT8RBxl46ds



Duration: 17:22
2 views
0


If the area bounded by the curve \( y=(x-1)(x-2)(x-3) \) lying between the ordinates \( x=0 \) and \( x=3 \) and \( x \)-axis is A then
(a) \( \int_{0}^{3}\left|\left(x^{3}+6 x^{2}+11 x+6\right)\right| d x \)
(b) \( \int_{0}^{3}\left|\left(x^{3}-6 x^{2}+11 x-6\right)\right| d x \)
(c) 11
(d) \( 11 / 2 \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live




Other Videos By PW Solutions


2023-06-09Find the value(s) of the parameter \( a \) \( (a0) \) for each of which the area of the figure...
2023-06-09Find the area bounded by \( y=x+\sin x \) and its inverse between \( x=0 \) and \( x=2 \pi \). (...
2023-06-09Let \( f(x)=\left\{\begin{array}{cc}2 x, & 0 \leq x \leq 1 \\ 2, & 1 \leq x \leq 3 \\ 8-2 x, & 3...
2023-06-09\begin{tabular}{|l|l|c|c|} \multicolumn{2}{|c|}{ Let \( f(x)=|x|, g(x)=|x-1| \) and \( h(x)=|x+1...
2023-06-09Find the ratio in which the area bounded by the curves \( y^{2}=12 x \) and \( x^{2}=12 y \) is ...
2023-06-09If area enclosed by the curves \( y=\sin ^{-1}(|x|-1) \) and \( y=\frac{\pi}{10}\left(x^{2}+1\ri...
2023-06-09Consider the two curves \( C_{1}: y=1+\cos x \) and \( C_{2}: y=1 \) \( +\cos (x-\alpha) \) for ...
2023-06-09Area enclosed by the curve \( y=\left(x^{2}+2 x\right) e^{-x} \) and the positive \( x \)-axis i...
2023-06-09Find the area of the region common to the circle \( x^{2}+y^{2}+ \) \( 4 x+6 y-3=0 \) and the pa...
2023-06-09Find the area of the segment cutoff from the parabola \( y^{2}=2 x \) by the line \( y=4 x-1 \).
2023-06-09If the area bounded by the curve \( y=(x-1)(x-2)(x-3) \) lying between the ordinates \( x=0 \) a...
2023-06-09The area bounded by the curve \( y=\frac{e^{x}+e^{-x}}{2} \) and the lines \( y=0, x=\ln 2 \) an...
2023-06-09Compute the area of the figure bounded by the straight lines \( x=0, x=2 \) and the curves \( y=...
2023-06-09The area bounded by the curves: \( y^{2}=4 a(x+a) \) and \( y^{2}=4 b \) \( (b-x) \) is: (a) \( ...
2023-06-09The area bounded by \( y=3-|3-x| \) and \( y=\frac{6}{|x+1|} \) is: (a) \( \frac{15}{2}-6 \ln 2 ...
2023-06-09Consider the following regions in the plane: \[ \begin{array}{l} R_{1}=\{(x, y):|x-y|+|x+y| \leq...
2023-06-09The area enclosed between the curves \( y=\log _{e}(x+e) \), \( x=\log _{e}\left(\frac{1}{y}\rig...
2023-06-09The area bounded by the curve \( y=|\cos x-\sin x|, 0 \leq x \leq \frac{\pi}{2} \) (a) \( 2 \sqr...
2023-06-09The area between the curve \( y=2 x^{4}-x^{2} \), the \( x \)-axis and the ordinates of the two ...
2023-06-09Let \( R=\{(x, y):|x-y|2 \) and \( S=\{(x, y):|x+y|2 \). Then the value of the area of the regio...
2023-06-09The area of the figure bounded by the parabola \( (y-2)^{2} \) \( =x-1 \), the tangent to it at ...