Integration by Parts: Solve y(1+y^2)^1/2 dy

Song
Messages
47
Reaction score
0
integral y(1+y^2)^1/2 dy

can someone help me with this?

Thanks.
 
Physics news on Phys.org
trigonometirc sub.
 
Wouldn't this solve easier with u substituion?
u = 1+y^2
du = 2y dy

Solution is 1/3(1+y^2)^3/2

If you want integration by parts, multiply it out and make u to be y so that du is 1.

By trig you'll need to substitute tan because the problem is + Y^2.

Bernie
 

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

Volume between a region (above x-axis and below parabola) and a surface
Replies
4
Views
2K
Integration problem using inscribed rectangles
Replies
14
Views
2K
Solve the problem involving the given double integral
Replies
1
Views
1K
Electromagnetism: Force on a parabolic wire in uniform magnetic field
Replies
20
Views
2K
Solve p = P(2X <= Y^2) using double integral
Replies
4
Views
1K
Determine the mean square error of a simple distribution
Replies
4
Views
1K
Verify Green's Theorem in the given problem
Replies
10
Views
2K
Double Integral of function in region bounded by two circles
Replies
19
Views
2K
Are these the correct expressions for ## dF/dy' ##?
Replies
4
Views
1K
Volume of a solid of revolution around the y-axis (def. integration)
Replies
3
Views
2K

Hot Threads

Recent Insights

Back
Top