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数学Ⅲ第11回小テスト

Authored by 中村一樹 中村一樹

Mathematics

12th Grade

Used 1+ times

数学Ⅲ第11回小テスト
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9 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

次の不定積分を求めよ。

 x5dx\int_{ }^{ }x^5dx  

 5x4+C5x^4+C  

 15x4+C\frac{1}{5}x^4+C  

 16x5+C\frac{1}{6}x^5+C  

 16x6+C\frac{1}{6}x^6+C  

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

次の不定積分を求めよ。

 x1dx\int_{ }^{ }x^{-1}dx  

 12x2+C-\frac{1}{2}x^{-2}+C  

 00  

 12x+C-\frac{1}{2\sqrt{x}}+C  

 logx+C\log_{ }\left|x\right|+C  

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

次の不定積分を求めよ。

 (sinx2cosx)dx\int_{ }^{ }\left(\sin x-2\cos x\right)dx  

 cosx2sinx+C\cos x-2\sin x+C  

 cosx+2sinx+C\cos x+2\sin x+C  

 cosx2sinx+C-\cos x-2\sin x+C  

 cosx+sinx+C-\cos x+\sin x+C  

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

次の不定積分を求めよ。

 cos3x+1cos2xdx\int_{ }^{ }\frac{\cos^3x+1}{\cos^2x}dx  

 sinx+tanx+C\sin x+\tan x+C  

 sinx+cosx+C\sin x+\cos x+C  

 sinxcos2x+C-\sin x-\cos^2x+C  

 sinx+logx+C\sin x+\log\left|x\right|+C  

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

次の不定積分を求めよ。

 (4x+1)5dx\int_{ }^{ }\left(4x+1\right)^5dx  

 20(4x+1)4+C20\left(4x+1\right)^4+C  

 16(4x+1)6+C\frac{1}{6}\left(4x+1\right)^6+C  

 124(4x+1)6+C\frac{1}{24}\left(4x+1\right)^6+C  

 23(4x+1)6+C\frac{2}{3}\left(4x+1\right)^6+C  

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

次の不定積分を求めよ。

 x(3x2)3dx\int_{ }^{ }x\left(3x-2\right)^3dx  

 19(3x2)5+C\frac{1}{9}\left(3x-2\right)^5+C  

 19(2x+5)(3x2)4+C\frac{1}{9}\left(2x+5\right)\left(3x-2\right)^4+C  

 190(3x2)6+C\frac{1}{90}\left(3x-2\right)^6+C  

 190(6x+1)(3x2)4+C\frac{1}{90}\left(6x+1\right)\left(3x-2\right)^4+C  

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

次の不定積分を求めよ。

 sin5xcosxdx\int_{ }^{ }\sin^5x\cos xdx  

 sin6x+C\sin^6x+C  

 16sin6x+C\frac{1}{6}\sin^6x+C  

 112sin6xcos2x+C\frac{1}{12}\sin^6x\cos^2x+C  

 sin4xcosx+sin5x+C\sin^4x\cos x+\sin^5x+C  

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