find the area of the region bounded by the curve Y=f(x) ,the y-axis ,Y =c and Y=d
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Answer:
y=|x+1|
={x+1,−(x+1),x≥−1x<−1
Its graph is shown in the figure.
Area of region bounded by the curve y=|x+1|, lines x=−4,x=2 and X-axis
= Area of ACEA + Area of ABDA
=∫−1−4yAEdx+∫2−1yADdx
=∫−1−4−(x+1)dx+∫2−1(x+1)dx
=−[x22+x]−1−4+[x22+x]2−1
=−[(12−1)−(8−4)]+[(2+2)−(12−1)]
=−(−12−4)+(4+12)
=92+92=9sq. units.
Step-by-step explanation:
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