Question

∫_(-2)^3▒〖m^3 〖 (5+ m^4)〗^7 dm〗evaluate

Answer 1

\[∫_(-2)^3〖m^3 〖 (5+ m^4)〗^7 dm〗\]

Answer 2

-2 is in subscore

Answer 3

\[\int\limits_{-2}^{3}\]

Answer 4

i bet this is
\[\int_{-2}^2 x^3(5+x^4)^7 dx\]

Answer 5

\[\int_{-2}^3 x^3(5+x^4)^7 dx\] i mean. is that it?

Answer 6

Ok just Put \[ 5 + m^4 = t \]\[4m^3 =\frac{dt}{dm}\]\[dm = \frac{dt}{4m^3}\]

Answer 7

Now when m->-2 & m -> 3
t -> 21 & t ->86

Now you have \[\int_{21}^{86} \frac{t^7}{4}dt\]\[\frac{t^8}{32} |_{21}^{86} \]Now put Limits and Solve

Answer 8

Use a calculator