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Find the area under the given curves and given lines: $ (ii)\:y = x^4, x = 1, x = 5 \: and\: x - axis$

This is second part of multipart q1

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  • Area of a region bounded by the curve $y=f(x)$,$x$-axis and the lines $x=a,x=b$ is given by \[A=\int_a^b dA=\int_a^b yda=\int_a^bf(x)dx.\]
Step 1:
Given :
since $ A=\int_a^bf(x)dx$
substituing for $f(x),a$ and $b$ we get,
Step 2:
Applying the limits we get,
Hence the required area is 624.8sq.units.
answered Dec 23, 2013 by yamini.v

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