different

Hi, Bob, the Canadian here. In this English lesson, I'm going to take you to four different restaurants, and I'm going to teach you four different English phrases that you can use to order food in English.

カナダ人のボブです。今回の英語レッスンでは、4つの異なるレストランに行き、英語で食べ物を注文する際に使える4つの異なる英語フレーズを教えます。

How to Order Food at a Restaurant in English

The same goes for every other interval. The approximated distance is v of t times dt, it's just that you'd be plugging in a different value for t at each one of these, giving a different height for each rectangle.

他のすべての区間についても同様です。近似距離はv(t)かけるdtですが、それぞれの区間で異なるtの値を代入するため、長方形の高さはそれぞれ異なります。

Integration and the fundamental theorem of calculus | Chapter 8, Essence of calculus

So in reality, there's actually infinitely many different possible antiderivative functions, and every one of them looks like 4t squared minus 1 third t cubed plus c, for some constant c.

つまり実際には、可能な原始関数は無限に存在し、そのどれもが定数cを用いて4t^2 - (1/3)t^3 + cという形をしています。

Integration and the fundamental theorem of calculus | Chapter 8, Essence of calculus

If you approximate velocity to be constant on multiple different intervals, you could figure out how far the car goes on each interval with multiplication, and then add all of those up.

速度を複数の異なる区間で一定であると近似すれば、各区間で車がどれだけ進んだかを掛け算で求め、それらをすべて合計することができます。

Integration and the fundamental theorem of calculus | Chapter 8, Essence of calculus