Question

The integral of Cos(x)dx between the limits 0 and π/2 is

Answer 1

Answer:

1

Explanation:

Integration of cosx is sinx

[sinx] 0-π/2

sinπ/2 - sin0

1 - 0

1

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Answer 2

The integral of cos(x) dx between the limits 0 and $\frac{\pi}{2}$ is 1.

Given,

An integrable function $cosx$.

To Find,

The integral of $cosx \ dx$between the limits 0 and $\frac{\pi}{2}$ .

Solution,

The method of finding the integral of the given integrable function is as follows -

We have to compute the integral of the trigonometric function $cosx$.

$\int_{0}^{\frac{\pi}{2} }cosx \ dx$

$= [sinx] _{o}^{\frac{\pi}{2} }$ [ the antiderivative of the trigonometric function $cosx$ is $sinx$ ]

$=[sin (\frac{\pi}{2} )-sin0]=1-0=1$.

Hence, the integral of cos(x) dx between the limits 0 and $\frac{\pi}{2}$ is 1.

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