## anonymous 5 years ago Express the integral as function of x.

1. anonymous

$\int\limits_{1}^{x^2}((d/dt)\sqrt{t^7 +3})$

2. anonymous

Integrate$(t ^{7}+3)^{1/2}$

3. anonymous

let f(t) = sqrt(t^7 +3) therefore we want the integral $\int\limits_{1}^{x^2} f' (t) dt$

4. anonymous

now by the fundamental theorm of cal this equals $f(x^2) -f(1)$

5. anonymous

= sqrt(x^14 +3) - sqrt(4)