Question

If y=2x then value of int_(0)^(1)ydx is equal to​

Answer 1

SOLUTION

GIVEN

y = 2x

TO DETERMINE

The value of

$\displaystyle \sf{\int\limits_{0}^{1} y\, dx }$

EVALUATION

Here it is given that

y = 2x

Thus we get

$\displaystyle \sf{\int\limits_{0}^{1} y\, dx }$

$\displaystyle \sf{ = \int\limits_{0}^{1} 2x\, dx }$

$\displaystyle \sf{ = 2.\frac{ {x}^{2} }{2} \bigg|_ 0^1 }$

$\displaystyle \sf{ = {x}^{2} \bigg|_ 0^1 }$

$\displaystyle \sf{ = {1}^{2} - {0}^{2} }$

$\displaystyle \sf{ = 1}$

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