Question

find ∫_1^3〖4x^3 〗(x^4+6)^10 dx

Answer 1

\[∫_1^3〖4x^3 〗(x^4+6)^{10}) dx\]

Answer 2

ok, what methods do you know to solve integrals?

Answer 3

\[\int\limits_{1}^{3}4x^3(x^4+6)^{10}dx\]
let u=x^4 +6
du=4x^3dx
so the integration becomes
\[\large{\int{u^{10}du}}\]\[=\frac{u^{11}}{11}\]
substituting the x back in u\[\int\limits{4x^3(x^4+6)^{10}dx} = \frac{(x^4+6)^{11}}{11}\]now just evaluate at the limits

Answer 4

thanks

Answer 5

=)