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Integral Dasar

Authored by hermawan rois

Mathematics

10th - 12th Grade

Used 62+ times

Integral Dasar
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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Antiturunan dari  f(x)=4x−7f\left(x\right)=4x-7  adalah .... 

 F(x)=4x2−7x+cF\left(x\right)=4x^2-7x+c  

 F(x)=12x2−7x+cF\left(x\right)=\frac{1}{2}x^2-7x+c  

 F(x)=2x2−7x+cF\left(x\right)=2x^2-7x+c  

 F(x)=4x2−7+cF\left(x\right)=4x^2-7+c  

 F(x)=4F\left(x\right)=4  

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Hasil dari  ∫(6x2+2x)dx=....\int\left(6x^2+2x\right)dx=....  

 2x3+x2+c2x^3+x^2+c  

 6x3+2x2+c6x^3+2x^2+c  

 3x3+x2+c3x^3+x^2+c  

 12x+212x+2  

 2x2+x3+c2x^2+x^3+c  

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Hasil dari ∫(2x3−3x+2x)dx\int\left(\frac{2}{x^3}-3\sqrt{x}+2x\right)dx adalah ....

 x2−1x2−2xx+cx^2-\frac{1}{x^2}-2x\sqrt{x}+c  

 1x2−2xx+x2+c\frac{1}{x^2}-2x\sqrt{x}+x^2+c  

 −1x2−2xx+2+c-\frac{1}{x^2}-2x\sqrt{x}+2+c  

 2x2−2x2−3xx+c2x^2-\frac{2}{x^2}-3x\sqrt{x}+c  

 1x4−2xx+x2+c\frac{1}{x^4}-2x\sqrt{x}+x^2+c  

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Jika f(x)=(2x−4x)2f\left(x\right)=\left(2x-\frac{4}{x}\right)^2 , hasil  ∫f(x)dx\int f\left(x\right)dx  adalah ....

 (x2−4x2)2+c\left(x^2-\frac{4}{x^2}\right)^2+c  

 43x3−16x−16x+c\frac{4}{3}x^3-16x-\frac{16}{x}+c  

 23x3−16x−16x+c\frac{2}{3}x^3-16x-\frac{16}{x}+c  

 (x2−4x2)3+c\left(x^2-\frac{4}{x^2}\right)^3+c  

 43x3−8x−16x2+c\frac{4}{3}x^3-8x-\frac{16}{x^2}+c  

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Diberikan ∫(ax+4)dx=2x2+4bx+c\int\left(ax+4\right)dx=2x^2+4bx+c . Nilai dari  a+ba+b adalah ....  

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6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Diketahui f′(x)f'\left(x\right) adalah turunan dari  f(x) f\left(x\right)\  jika  f′(x)=2x+1f'\left(x\right)=2x+1 dan  f(1)=−4f\left(1\right)=-4  maka rumus fungsi  f(x)f\left(x\right) adalah ....    

 x2+x+6x^2+x+6  

 x2+2x−7x^2+2x-7  

 x2−x−6x^2-x-6  

 (x−3)(x+1)\left(x-3\right)\left(x+1\right)  

 (x−2)(x+3)\left(x-2\right)\left(x+3\right)  

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Turunan suatu persamaan kurva dydx=4x+9.\frac{dy}{dx}=4x+9. Jika kurva tersebut melalui titik (-1,1) maka bentuk persamaan kurvanya adalah ….

 2x2+9x2x^2+9x  

 2x2+9x+32x^2+9x+3  

 4x2+9x+64x^2+9x+6  

 x2+9x+9x^2+9x+9  

 2x2+9x+82x^2+9x+8  

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