Question

If y = sin 2 theta, then value of integral^pi/2 yd theta will be​

Answer 1

Answer:

pi2/3 * is the answer of this

Answer 2

Given : y = sin 2θ

To Find :  $\int\limits^ \frac{\pi}{2} _0 {y} \, d\theta$

Solution:

$\int\limits^ \frac{\pi}{2} _0 {y} \, d\theta$

y = sin 2θ

$=\int\limits^ \frac{\pi}{2} _0 {\sin 2\theta} \, d\theta$

$= \left \frac{-\cos 2\theta}{2} \right | ^ \frac{\pi}{2} _0$

= (-1/2)  (cos π - cos 0)

= (-1/2) (-1 - 1)

= (-1/2)(-2)

= 1

$\int\limits^ \frac{\pi}{2} _0 {y} \, d\theta$  = 1

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