Question

Please Solve this question.
∫√Sinx dx

Answer 1

\[\int \sqrt{\sin{x} }dx\]

Answer 2

Please post solution also.

Answer 3

I don't think it has a solution in terms of the elementary functions.

Answer 4

Is it \(\int\sqrt{\sin{x}}dx\) or \(\int\sin{\sqrt{x}}dx\)?

Answer 5

Its ∫√sinxdx

Answer 6

use the taylor expansion

Answer 7

I have tried almost everything but If you can solve it by any method then please post the solution,coz I really dont know how to solve this.

Answer 8

whats the upper and lower limit

Answer 9

Its not given.

Answer 10

solved as an indefinite integral eh?

Answer 11

What course is this, if you don't mind me asking?

Answer 12

I have tired as indefinite integral but it gives no result

Answer 13

so no limits ?

Answer 14

hmm right if there would be limits I would have solved it

Answer 15

from -inf to inf it is 0

Answer 16

err

Answer 17

nevermind

Answer 18

its an elliptic integral

Answer 19

what class are u taking
?

Answer 20

so how to solve an elliptic integral? plz tell me

Answer 21

you cant
you probably have a typo anyway .
the question should be integral sin (sqrtx)

Answer 22

does it say integral sin ( sqrt x)

Answer 23

no no its say the integration of whole sinx (under radical)

Answer 24

you can copy wolframs answer. sorry thats all i can tell you

Answer 25

http://www2.wolframalpha.com/input/?i=%E2%88%AB%E2%88%9ASinx+dx

Answer 26

this is not elementary antiderivative

Answer 27

just say its not elementary. and it isnt even easily solved numerically without calculator

Answer 28

http://www2.wolframalpha.com/input/?i=%E2%88%9ASinx

If the input was wrong use this one

Answer 29

Actually I need solution I have already seen the answer anyway thanks for your response

Answer 30

Possible derivation:
d/dx(sqrt(sin(x)))
| Use the chain rule, d/dx(sqrt(sin(x))) = ( dsqrt(u))/( du) ( du)/( dx), where u = sin(x) and ( dsqrt(u))/( du) = 1/(2 sqrt(u)):
= | (d/dx(sin(x)))/(2 sqrt(sin(x)))
| The derivative of sin(x) is cos(x):
= | (cos(x))/(2 sqrt(sin(x)))

Answer 31

raw, thats wrong

Answer 32

your logic is confusing as heck

Answer 33

raw no,

Answer 34

Thanks for the help everyone.

Answer 35

raw, all you did was
u = sqrt (sin x ) , du = cos x / (2 sqrt (sin x) ) dx .