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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

Q : 1        Find the area under the given curves and given lines:

                (ii) \small y=x^4,x=1,x=5  and \small x-axis

Answers (1)

best_answer

The area bounded  by the curev \small y=x^4,x=1,x=5  and \small x-axis


The area of the required region = area of ABCD
                                                   \\=\int_{1}^{5}ydx\\ =\int_{1}^{2}x^4dx\\ =[\frac{x^5}{5}]_1^2\\ =625-\frac{1}{5}\\ =624.8
Hence the area of the shaded region is 624.8 units

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manish

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