Tuesday

September 2, 2014

September 2, 2014

Posted by **abhi** on Friday, October 5, 2012 at 12:30pm.

- math -
**Steve**, Friday, October 5, 2012 at 2:46pmthis one is a bit less complicated than the last one.

∫x^2/√(x-1)

Let u^2 = x-1

2u du = dx

x = 1+u^2

and we have

∫(1+u^2)^2/u 2u du

2∫(1+u^2)^2 du

2∫1 + 2u^2 + u^4 du

2(u + 2/3 u^3 + 1/5 u^5)

2/15 √(x-1)(15 + 10(x-1) + 3(x-1)^2)

2/15 √(x-1)(15 + 10x - 10 + 3x^2 - 6x + 3)

2/15 √(x-1) (3x^2 + 4x + 8)

**Answer this Question**

**Related Questions**

math - Integrate Sin(rootx) wrt x

Calculus - sketch the region enclosed by the given curves. Decide whether to ...

Integral calculus - Please do help solve the followings 1) Integrate e^4 dx 2) ...

calculus - 1) Integrate Cos^n(x) dx 2) Integrate e^(ax)Sinbx dx 3) Integrate (...

Calc 1 - integrate from 0 to pi/4 (sec^2x)/((1+7tanx)^2)^1/3 integrate form pi^2...

integrate - integrate du/3u and integrate x/x^2 dx it might be simple...i just ...

Calculus - 6.] Replace the integral in exercise 5 (int. (1/ 1 – t) dt a = 0, b...

calculus 2 - Justify, with a written explanation or a mathematical reasoning ...

calculus help please - dy/dx = 2y^2 Integrating...y=2/3 y^3 + C put 1,-1 into ...

Math Integration - Integrate: f (x)/(2x + 1) dx let f represent integrate sign ...