Question

Express the integral as function of x.

Answer 1

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

Answer 2

Integrate\[(t ^{7}+3)^{1/2}\]

Answer 3

let f(t) = sqrt(t^7 +3)

therefore we want the integral

\[\int\limits_{1}^{x^2} f' (t) dt\]

Answer 4

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

Answer 5

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