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प्रश्न
Find the area bounded by the curve y = x4, x-axis and lines x = 1 and x = 5.
उत्तर
Required area A = `int_1^5 y dx`
Given y = x4
`therefore A = int_1^5 x^4 dx`
= `[x^5/5] = 1/5[ 5^5 - 1^5]`
= `1/5 [ 3125 - 1 ]`
= `3124/5` sq.units.
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