不定積分の問題


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解答

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

  1. $\displaystyle\int xdx=\qquad$
  2. $\displaystyle\int x^2dx=\qquad$
  3. $\displaystyle\int x^3dx=\qquad$
  4. $\displaystyle\int x^4dx=\qquad$
  5. $\displaystyle\int 1dx=\qquad$
  6. $\displaystyle\int \dfrac{1}{x}dx=\qquad$
  7. $\displaystyle\int e^xdx=\qquad$
  8. $\displaystyle\int \sin xdx=\qquad$
  9. $\displaystyle\int \cos xdx=\qquad$
  10. $\displaystyle\int\int xdxdx=\qquad$