Evaluate the integral using the integration limits

[AryRezvani]

Homework Statement

(Between 0-3) ∫x³/√(x²+9)

The Attempt at a Solution

I attempted U sub, but that didn't work. Neither did integration by parts; however, I do remember my teacher using a method involving sub'ing an "x" or something.

Anybody?

Will edit in attempts as I search YouTube for tutorials.

 

[Fightfish]

Are you sure that integration by parts doesn't work? I'll recommend that you try again, and perhaps show your work.

 

[ehild]

Or substitute y=x^+9.

ehild

 

[Curious3141]

Homework Statement

(Between 0-3) ∫x³/√(x²+9)

The Attempt at a Solution

I attempted U sub, but that didn't work. Neither did integration by parts; however, I do remember my teacher using a method involving sub'ing an "x" or something.

Anybody?

Will edit in attempts as I search YouTube for tutorials.

Both methods work well here. For IP, use the exact same initial step like in the problem I took you through. ehild's sub also works very well, and quickly gives you an answer.