Question

The area between the x-axis and curve y=5sin x from (x=0) to (x=pie) is - - units

Answer 1

Answer:

So the area between the x-axis and the curve $y=5sin x$ is 10 unit.

Explanation:

We need to find the area between the x-axis and curve $y=5sin x$ from $x=0$ to $x = \pi$.

We know that to find the area under the curve we need to integrate the curve equation between the upper limit and lower limit.

So the area between the x-axis and the curve $y=5sin x$ is

$\int\limits^\pi _0 {5sin x} \, dx$

$= 5 [-cos(\pi ) - (-cos 0)]\\\\= 5 [1+1]\\\\= 5*2\\\\= 10$

So the area between the x-axis and the curve $y=5sin x$ is 10 unit.

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