Sunday

December 21, 2014

December 21, 2014

Posted by **Anonymous** on Monday, January 28, 2013 at 1:16pm.

(x^2)sqrt(5x+6)dx

- Calc 2 -
**Steve**, Monday, January 28, 2013 at 4:48pm∫[0,1] x^2 √(5x+6) dx

That's almost x^5/2, but for that pesky 5x+6. So, let u=5x+6 and we have x = (u-6)/5:

∫[6,11] (u-6)^2/25 √u du/5

= 1/125 ∫[6,11] u^(5/2) - 12u^(3/2) + 36u^(1/2) du

= 1/125 (2/7 u^7/2 - 24/5 u^5/2 + 24u^3/2)[6,11]

= 2/4375 (576√6 - 1111√11)

= 1.03948

**Answer this Question**

**Related Questions**

Calc. - Evaluate the definite integral. S b= sqrt(Pi) a= 0 xcos(x^2)dx I'm not ...

calc check: curve length - Find the length of the curve y=(1/(x^2)) from ( 1, 1...

Math - Evaluate the following definite integral. sqrt(11 x)(sqrt(x) + sqrt(11)) ...

Calc - If we know that the definite integral from -6 to -3 of f(x) equals 6, the...

calc - i need to find the definite integral from 0 to 2|b| of .... x divided by ...

Calc - Evaluate the definite integral: int_{ 2 } ^ { 7 } (10 x + 5) dx =

Calc. - Evaluate the indefinite integral. Please check my work? Not sure if I am...

calc: avg value - Find the average value of the function "f(x) = x^2 sqrt(1+x^3...

calculus - Evaluate the definite integral: upper number of the integral is 6 ...

Calculus Fundamental Theorem - Evaluate the definite integral. function: (t+8)(t...