Question

Solve the equation 𝑆 = ∫10𝑒^2t 𝑑𝑡 for T range 0 to T.

Answer 1

Solution;

$S=\displaystyle \int_0^T10e^{2t}dt$

$S=10\displaystyle \int_0^Te^{2t}dt$

$S=10[\frac{e^{2t}}{2}]_0^T$

$S=5(e^{2T}-e^{0})$

$S=5(e^{2T}-1)$