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定積分bun①

Authored by Kenji Takei

Mathematics

11th - 12th Grade

Used 70+ times

定積分bun①
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8 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt


 13(x23)dx\int_1^3\left(x^2-3\right)dx  を計算せよ

 66  

 73\frac{7}{3}  

 83\frac{8}{3}  

 103\frac{10}{3}  

2.

MULTIPLE SELECT QUESTION

30 sec • 1 pt

正しい公式を選べ

 aa x2n+1dx=0\int_{-a}^a\ x^{2n+1}dx=0  

 aa x2n+1dx=20a x2n+1dx\int_{-a}^a\ x^{2n+1}dx=2\int_0^a\ x^{2n+1}dx  

 aa x2ndx=0\int_{-a}^a\ x^{2n}dx=0  

 aa x2ndx=20a x2ndx\int_{-a}^a\ x^{2n}dx=2\int_0^a\ x^{2n}dx  

3.

MULTIPLE SELECT QUESTION

30 sec • 1 pt


 baf(x)dx\int_b^af\left(x\right)dx  と等しいものを選べ

 ab f(x)dx\int_{-a}^b\ f\left(x\right)dx  

 abf(x)dx-\int_a^bf\left(x\right)dx  

 abf(x)dx\int_a^b-f\left(x\right)dx  

 baf(x)dx\int_{-b}^{-a}f\left(x\right)dx  

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt


 32(x2+x6)dx\int_{-3}^2\left(x^2+x-6\right)dx  を計算せよ

 16-\frac{1}{6}  

 1256-\frac{125}{6}  

 1256\frac{125}{6}  

 16\frac{1}{6}  

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt


 ab(xa)(xb)dx=\int_a^b\left(x-a\right)\left(x-b\right)dx=  

 16(ba)2-\frac{1}{6}\left(b-a\right)^2  

 13(ab)3-\frac{1}{3}\left(a-b\right)^3  

 16(ba)3-\frac{1}{6}\left(b-a\right)^3  

 16(ab)2\frac{1}{6}\left(a-b\right)^2  

 16(ba)3\frac{1}{6}\left(b-a\right)^3  

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt


 22(2x3x2+4)dx\int_{-2}^2\left(2x^3-x^2+4\right)dx  を計算せよ

 323\frac{32}{3}  

 313\frac{31}{3}  

 293\frac{29}{3}  

 99  

 253\frac{25}{3}  

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt


 14(x2)(2x+1)dx\int_1^4\left(x-2\right)\left(2x+1\right)dx  を計算せよ

 272\frac{27}{2}  

 292\frac{29}{2}  

 44  

 212\frac{21}{2}  

 25\frac{2}{5}  

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