Find derivative using fundamental theorem of calculus part 1

kraphysics
Messages
41
Reaction score
0

Homework Statement



ooiKR.png



The Attempt at a Solution



since cos(x^2) is on bottom i flipped it and so it becomes negative. then I got

-[(1+cos(x^2))(-sin (x^2))(2x)]

substituting with sqrt(pi/2) I keep getting the answer as sqrt(2pi) since the negatives cancel however it says the answer is supposed to be -sqrt(2pi). What am I doing wrong?
 
Physics news on Phys.org
I don't think you are doing anything wrong. I think the given answer is wrong.
 
Dick said:
I don't think you are doing anything wrong. I think the given answer is wrong.

Really?!
thank you. I've been going crazy over this question for a long time
 

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
View full post »

Similar threads

Differentiate the given integral
Replies
15
Views
2K
Calculating radius of gyration of plane figure about x-axis
Replies
5
Views
2K
Multivariable calculus problem involving partial derivatives along a surface
Replies
9
Views
1K
Area of segment cut from a circle
Replies
2
Views
1K
Calculate this Integral around the Circular Path using Green's Theorem
Replies
3
Views
2K
Stokes' Theorem for a Circle in a Plane
Replies
7
Views
2K
Computing line integral using Stokes' theorem
Replies
8
Views
2K
Prove that the integral is equal to ##\pi^2/8##
2
Replies
96
Views
4K
Existence of directional derivative
Replies
4
Views
1K
Fundamental theorem of calculus
Replies
4
Views
2K

Hot Threads

Recent Insights

Back
Top