CALCULUS (REPOST)
posted by Anonymous .
If dy/dx = x (cos x^2) and y = −3 when x = 0, when x = pi, y = .
A. −3.215
B. sqrt(2)
C. 1.647
D. 6
E. 3pi
For some odd reason, I keep getting 0.5325989. I can't come up with any of the answers given.

I=∫ xcos(x²)dx
sub u=x², du=2xdx
I=∫cos(u)du/2
=sin(u)/2+C
When x=0, u=0, y=3 => C=3
so
y=sin(x²)/23
So calculate
y=sin(π²)3
Note that if you use your calculator, make sure you put the angle to be in radians mode to get the correct answer. 
y=sin(pi^2)3 yields approximately 3.430301217, which still doesn't fit the bill for the options I am given.

Sorry that there was a typo (I forgot to divide sin(x²) by 2):
y=sin(x²)/23
So calculate
y=sin(π²)/23
Respond to this Question
Similar Questions

Calculus
Find the point on the line 6x + y = 9 that is closest to the point (3,1). Solution: We need to minimize the function d = sqrt((x − (−3))^2 + (y − 1)^2) = sqrt((x + 3)^2 + (y − 1) ^2 ) and, since the point (x, … 
calculus
Find an equation for the surface consisting of all points P(x, y, z) equidistant from the point P(0, 1, 0) and the plane x = 3. Answer Choices: 1. y2 + z2 − 6x + 2y − 8 = 0 2. x2 + z2 + 6y − 2z − 8 = 0 3. y2 … 
CALCULUS
If dy/dx = x (cos x^2) and y = −3 when x = 0, when x = ƒÎ, y = . A. −3.215 B. ã2 C. 1.647 D. 6 E. 3ƒÎ For some odd reason, I keep getting 0.5325989. I can't come up with any of the answers given. 
CALCULUS
If dy/dx = x cos x^2 and y = −3 when x = 0, when x = pi, y = . A. −3.215 B. sqrt(2) C. 1.647 D. 6 E. 3pi All of the potential solutions I've come up with don't satisfy any of the given values. 
Math Trig
13. What is the equation of a cosine function with amplitude 3, transition point (−1, 1), and period p? 
biology
Given the part of the molecule shown below, can the underlined atom participate in a hydrogen bond with an approriate bonding partner? 
Grade 12 Calculus
Evaluate each of the following. Show all your calculations. a) f'(3) if f(x) = x^4 − 3x b) f' (−2) if f(x) = 2x^3 + 4x^2 − 5x + 8 c) f" (1) if f(X) = −3x^2 − 5x + 7 … 
calculus (gr 12)
Evaluate each of the following. Show all your calculations. a) f'(3) if f(x) = x^4 − 3x b) f' (−2) if f(x) = 2x^3 + 4x^2 − 5x + 8 c) f" (1) if f(X) = −3x^2 − 5x + 7 … 
calculus (gr 12)
Evaluate each of the following. Show all your calculations. a) f'(3) if f(x) = x^4 − 3x b) f' (−2) if f(x) = 2x^3 + 4x^2 − 5x + 8 c) f" (1) if f(X) = −3x^2 − 5x + 7 … 
CALCULUS. Check my answers, please! :)
The domain of f(x)=(1)/(sqrt(x^26x7)) is (1, 7) [1, 7] x > 1 or x < 7 ***{x < 1}U{x > 7} (∞, 1]U[7, ∞) 2. In which of the following is y a function of x?