Question

What is the indefinite integral of (x^5-3)^2?
Thanks in advance!

Answer 1

first expand the expression

Answer 2

\[\int\limits_{}^{}(x^{10}-6x^5+9) dx\]

Answer 3

i think this form you should know how to do
just use
\[\int\limits_{}^{}x^n dx=\frac{x^{n+1}}{n+1}+c\]

Answer 4

you have three parts
just decide what n is in use the formula for each of those three parts

Answer 5

\[x ^{11}/11-6x ^{7}/7+9x\]

Answer 6

almost luckey

Answer 7

isn't it 6x^6/6?

Answer 8

very good! :)
don't forget the minus sign in front of and you are awesome! :)

Answer 9

yeah plus a constant

Answer 10

One more if you guys don't mind? This one is a little more complicated...

indefinite integral of xsqrt(2x+9)?

Answer 11

with steps if you can.

Answer 12

let u=2x+9 => du=2 dx => du/2 =dx
(u-9)/2=x

\[\int\limits_{}^{}\frac{u-9}{2} \sqrt{u} \frac{du}{2}\]

Answer 13

that should help

\[\frac{1}{4}\int\limits_{}^{}(u \cdot u^\frac{1}{2}-9u^\frac{1}{2}) du\]

Answer 14

Thanks!