integrat sqrt(sinx) with limit 0 to pi/2.....................................
integrat sqrt(sinx) with limit 0 to pi/2.....................................
awanish , 8 Years ago
Grade 12th pass
Integral Calculus> integrat sqrt(sinx) with limit 0 to pi/2....
1 AnswersVikas TU
Last Activity: 8 Years ago
Apply By part integeration ---->
Let the first function be unity and second one root sinx.
integration of square root of sin x dx
integration (sin x)^1/2 dx = [{(sin x)^3/2) / (3/2)}* cos x
= [2cos x.sin x.(sin x)^1/2] / 3
= [sin2x.(sin x)^1/2] / 3
AAp;;y the limits
2nd method:
let sinx = t
cos x dx= dt
dx=dt/cosx
= dt / (1-t^2)^1/2
Required: integrate(sinx ^ 1/2 dx)
integrate( [t^1/2 ]/[(1-t^2)^1/2 dt )
sorry ,I cant solve it by this method,
BUT , I can give u the answer directly.
ANSWER: 2/3[ ( sinx)^3/2]/cosx
2/3 * (sinx)^3/2 * secx
Let the first function be unity and second one root sinx.
integration of square root of sin x dx
integration (sin x)^1/2 dx = [{(sin x)^3/2) / (3/2)}* cos x
= [2cos x.sin x.(sin x)^1/2] / 3
= [sin2x.(sin x)^1/2] / 3
AAp;;y the limits
2nd method:
let sinx = t
cos x dx= dt
dx=dt/cosx
= dt / (1-t^2)^1/2
Required: integrate(sinx ^ 1/2 dx)
integrate( [t^1/2 ]/[(1-t^2)^1/2 dt )
sorry ,I cant solve it by this method,
BUT , I can give u the answer directly.
ANSWER: 2/3[ ( sinx)^3/2]/cosx
2/3 * (sinx)^3/2 * secx
Provide a better Answer & Earn Cool Goodies
LIVE ONLINE CLASSES
Prepraring for the competition made easy just by live online class.
Full Live Access
Study Material
Live Doubts Solving
Daily Class Assignments
Ask a Doubt
Get your questions answered by the expert for free
Other Related Questions on integral calculus
The area of a square field is 640000cm2.what is its area in hectares
The area of a square field is 640000cm2.what is its area in hectares
integral calculus
1 Answer Available
Last Activity: 2 Years ago
Please solve this integration. I am facing difficulty in it How to solve this. Please solve anyone. Humble request
Please solve this integration. I am facing difficulty in it
How to solve this. Please solve anyone. Humble request
integral calculus
0 Answer Available
Last Activity: 2 Years ago
Using laplace transform, solve d2y/dt2 + dy/dt = t2 +2t given that y=4 and y’=-2 and t=0
Using laplace transform, solve d2y/dt2 + dy/dt = t2 +2t given that y=4 and y’=-2 and t=0
integral calculus
0 Answer Available
Last Activity: 2 Years ago
how to solve this?
this is interger type question .
how to solve this?
this is interger type question .
this is interger type question .
integral calculus
0 Answer Available
Last Activity: 3 Years ago