# calculus

Evaluate the indefinite integral: y*(y+5)^1/3 dy.

1. 👍 0
2. 👎 0
3. 👁 93
1. let u = y + 5
then
du = dy
we have integral of
(u-5) u^(1/3) du
or of
u^(4/3) du - 5 u^(1/3) du

Can you take it from there? Remember to change u back to y+5 in the end and add a constant c.

1. 👍 0
2. 👎 0
posted by Damon

## Similar Questions

1. ### Math

1. Evaluate the indefinite integral ([6x^2 + 12x^(3/2) +4x+9]/sqrt x)dx. Answer = + C 2. Evaluate the indefinite integral (12sin x+4tan x)dx. Answer = + C 3. Evaluate the indefinite integral. (x^7)e^(x^8)dx. Answer = + C Thank you

asked by Matt on September 19, 2011
2. ### Calc BC

1. Find the indefinite integral. Indefinite integral tan^3(pix/7)sec^2(pix/7)dx 2. Find the indefinite integral by making the substitution x=3tan(theta). Indefinite integral x*sqrt(9+x^2)dx 3. Find the indefinite integral.

asked by Zooey on September 27, 2011
3. ### Calculus

Evaluate the integral: 16csc(x) dx from pi/2 to pi (and determine if it is convergent or divergent). I know how to find the indefinite integral of csc(x) dx, but I do not know how to evaluate the improper integral.

asked by Sam on June 4, 2012
4. ### Calculus II/III

A. Find the integral of the following function. Integral of (x√(x+1)) dx. B. Set up and evaluate the integral of (2√x) for the area of the surface generated by revolving the curve about the x-axis from 4 to 9. For part B of

asked by Ryoma on February 19, 2007
5. ### math

Evaluate the following indefinite integral by using the given substitution to reduce the integral to standard form integral cos(9x) dx, u=9x

asked by vishal on September 10, 2013
6. ### math

Evaluate the following indefinite integral by using the given substitution to reduce the integral to standard form integral 2(2x+6)^5 dx, u=2x+6

asked by vishal on September 10, 2013
7. ### Calculus

Evaluate the integral: 16csc(x) dx from pi/2 to pi (and determine if it is convergent or divergent). I know how to find the indefinite integral of csc(x) dx, but I do not know how to evaluate the improper integral, at the

asked by Sam on June 5, 2012
8. ### Calc

Use substitution to evaluate the indefinite integral: The integral of [ (sq. root (1 + ln x)) ((ln x)/x) dx] Im confused on what i should substitute u and du for. Thank you so much!!

asked by Erica on October 19, 2011
9. ### Please help with Calc!

Evaluate the indefinite integral. integral 2e^(2x)sin(e^2x) Note: Use an upper-case "C" for the constant of integration.

asked by Josh on May 3, 2014
10. ### Calculus Please Help

Evaluate the indefinite integral Note: Use an upper-case "C" for the constant of integration. integral sqrt(100x^2-400)/x dx Ty

asked by Josh on May 9, 2014
11. ### calculus

Evaluate the indefinite integral. integral of 8 sin^4 x cos x dx

asked by mike on April 16, 2010

More Similar Questions