math/ cal
posted by Laura .
how do you integrate sin (x^2) dx?

There is a solution given here that uses complex numbers but gives a simple real answer which is correct:
http://answers.yahoo.com/question/index?qid=20070116202856AA7DM5R
You might be able to get the same answer using integration by parts 
The answer is
(x/2)  (1/4)sin(2x)
I don't see any easier way to get it than the "Euler" proof in the link I gave you 
thank you for your answer, but this example problem is not the same as mine. the example problem is (sin (x))^2, in other words the whole quantity is squared. mine is just sin of x^2. any suggestions here?
Respond to this Question
Similar Questions

math
80 cal/g x 5 g 400g/cal or 400 cal/g not sure can any one help Neither. 80 cal/g x 5g = 400 cal. The unit g cancels to leave calories. x2+2x15 
Integral calculus
Please can anyone help with the following problems  thanks. 1) Integrate X^4 e^x dx 2) Integrate Cos^5(x) dx 3) Integrate Cos^n(x) dx 4) Integrate e^(ax)Sinbx dx 5) Integrate 5xCos3x dx The standard way to solve most of these integrals … 
Integral calculus
Please do help solve the followings 1) Integrate e^4 dx 2) Integrate dx/sqrt(90^24x^2) 3) Integrate (e^x+x)^2(e^x+1) dx 4) Integrate xe^x2 dx e^4 is a constant. 3) let u= e^x + x du= (e^x + 1)dx 4) let u= x du=dx v= e^x dv= e^x dx 
calculus
1) Integrate Cos^n(x) dx 2) Integrate e^(ax)Sinbx dx 3) Integrate (5xCos3x) dx I Will be happy to critique your thinking on these. 1) Derive a recursive relation. 2) Simplest by replacing sin(bx) by Exp[i b x] and taking imaginary … 
Calculus Indefinite Intergral
I need help with integrating these two problems. Im stuck. 1. integrate (sin^1)dx/((1x^2)^3/2) sin^1 aka arcsin 2. integrate dx/((1x^2)^3/2) by using 1/z Any and all help will be appreciated! 
integral calculus
Integrate (((cos^2(x)*sin(x)/(1sin(x)))sin(x))dx thanks 
integral calculus
integrate: [ cos ^ 2 (x) * sin (x) / ( 1  sin(x) )]  sin (x) 
math
Hi, I am in need of some help. How would I find the derivative of the function: f(x) = int e^sin(t) dt if the upper bound is x^2 and the lower bound is cos(x)? 
MathematicsIntegration
Question: Prove that [integrate {x*sin2x*sin[π/2*cos x]} dx] /(2xπ) } from (0π) = [ integrate {sin x*cos x*sin[π/2*cos x} dx ] from (0π). My thoughts on the question: We know that integrate f(x) dx from (0a) = integrate f(ax) … 
Math
Find the greatest value of a,so that integrate [x*root{(a^2x^2)/(a^2+x^2)} ] from 0a<=(π2) Let I =integrate{ [x*root{(a^2  x^2)/(a^2+x^2)}]dx } from 0a I used the substitution u=root[x^2+a^] to simplify the further. After …