Question

$\sf\implies\: find\: area\: of\: curve\: y\:=\:x^2\: between\: the \: limits\: x\:=\:1m\: to\: x\:=\:3\:m\:is\: \frac{26}{n}\:m^2\:.\:find\: the\:value\: of\:n\:$

Answer 1

Answer:

To find the area of curve we use Integration.

Given Equation: y = x²

⇒ Integration of x² = x³ / 3 within limits x = 1 to x = 3

⇒ Value = 3³ / 3 - 1³ / 3 = 27 - 1 / 3 = 26 / 3

Now we get the answer 26 / 3.

According to the question, the answer is of the form 26 / n.

So comparing both we get,

⇒ 26 / 3 = 26 / n

⇒ n = 3

Hence the value of n is 3.

Answer 2

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