Question

Solving a definite integral with u-substitution:

[(x^4 + x)^5](4x^3 + 1) dx from 0 to 1.

Answer 1

\[\int_0^1(x^4+x)(4x^3+1)dx\] put \(u=x^4+x, du=(4x^3+1)dx,u(0)=0, u(1)=2\) and change to
\[\int_0^2udu\]

Answer 2

oh i missed the exponent of \(5\) sorry, it would be
\[\int_0^2u^5du\] in that case

Answer 3

noooo

Answer 4

i wanted to do it

Answer 5

Thanks for your quick reply, I'll give it a go.

Answer 6

yw