MAT136H1 Lecture Notes - Trigonometric Substitution

• School: UTSG
• Department: Mathematics
• Course: MAT136H1
• Professor: all

Document Summary

For functions where evaluating ( is challenging, simpson"s rule can be used to approximate the length of the curve for the given interval. A trajectory of follows after the given equation. Calculate the total distance traveled before hitting the ground, where is in meters and in seconds. So it needs to be determined based on the equation. ; since t represents time only positive option works. Then total distance travelled is essentially equal to the length of the curve. Either the shortcut formula can be picked from the integral list, or trigonometric substitution can be used. Align the interval yet again every time substitution is made for definite integral. So when , then ; when , then ( )