復習問題

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解答

$$\int f(t)dt=「微分がf(t)となる関数」+C\qquad(Cは積分定数)$$

1. $\displaystyle\int t^2dt=\qquad$
2. $\displaystyle\int \dfrac{1}{t^2}dt=\qquad$
3. $\displaystyle\int \sqrt{t}dt=\qquad$
4. $\displaystyle\int \dfrac{1}{\sqrt{t}}dt=\qquad$
5. $\displaystyle\int \dfrac{1}{t}dt=\qquad$
6. $\displaystyle\int (t^{\frac{3}{2}}-3t^{\frac{1}{2}})dt=\qquad$
7. $\displaystyle\int \sin tdt=\qquad$
8. $\displaystyle\int \dfrac{1+\cos t}{2}dt=\qquad$
9. $\displaystyle\int \dfrac{1}{1+t^2}dt=\qquad$
10. $\displaystyle\int \dfrac{1}{\sqrt{1-t^2}}dt=\qquad$
11. $\displaystyle\int e^tdt=\qquad$