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Post Test Integral

Authored by Yessi Affri

Mathematics

University

CCSS covered

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Post Test Integral
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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Hasil dari  ∫−14xdx=\int_{-1}^4xdx=  _____

 62\frac{6}{2}  

 102\frac{10}{2}  

 152\frac{15}{2}  

 172\frac{17}{2}  

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Berdasarkan linearitas,  ∫14cf(x)dx=c⋅\int_1^4cf\left(x\right)dx=c\cdot_{ }  _____ dan  ∫25(x+x)dx=∫25xdx+\int_2^5\left(x+\sqrt{x}\right)dx=\int_2^5xdx+  _____

 ∫04f(x)dx;∫05xdx\int_0^4f\left(x\right)dx;\int_0^5\sqrt{x}dx  

 ∫14f(x)dx;∫14xdx\int_1^4f\left(x\right)dx;\int_1^4\sqrt{x}dx  

 ∫14f(x)dx;∫25xdx\int_1^4f\left(x\right)dx;\int_2^5\sqrt{x}dx  

 ∫04f(x)dx;∫05xdx\int_0^4f\left(x\right)dx;\int_0^5\sqrt{x}dx  

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Dengan menggunakan Teorema Dasar Kalkulus Kedua, ∫cdF′(x)dx=\int_c^dF'\left(x\right)dx= _____ 

 F′(c)−F′(d)F'\left(c\right)-F'\left(d\right)  

 F′(d)−F′(c)F'\left(d\right)-F'\left(c\right)  

 F(c)−F(d)F\left(c\right)-F\left(d\right)  

 F(d)−F(c)F\left(d\right)-F\left(c\right)  

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Teorema Nilai Rerata untuk Integral menyatakan bahwa terdapat c pada interval (a, b) sedemikian hingga nilai rerata fungsi pada [a, b] sama dengan _____

f(a)f\left(a\right)

f(b)f\left(b\right)

f(c)f\left(c\right)

f(x)f\left(x\right)

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Jika p(y)≤q(y)p\left(y\right)\le q\left(y\right) untuk seluruh y dalam  [c,d]\left[c,d\right]  maka luas  A(R)A\left(R\right)  dari daerah R dibatasi oleh kurva  x=p(y)x=p\left(y\right)  dan  x=q(y)x=q\left(y\right)   antara  y=cy=c  dan  y=dy=d  diberikan oleh persamaan  A(R)=A\left(R\right)=  _____

 ∫cd{p(y)−q(y)}dy\int_c^d\left\{p\left(y\right)-q\left(y\right)\right\}dy  

 ∫cd{q(y)−p(y)}dy\int_c^d\left\{q\left(y\right)-p\left(y\right)\right\}dy  

 ∫cd{p(x)−q(x)}dx\int_c^d\left\{p\left(x\right)-q\left(x\right)\right\}dx  

 ∫cd{q(x)−p(x)}dx\int_c^d\left\{q\left(x\right)-p\left(x\right)\right\}dx  

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Jika daerah R yang dibatasi oleh y=x2, y=0,y=x^2,\ y=0, dan   x=3  dan diputar terhadap sumbu  y=−2y=-2  maka cincin x akan memiliki volume  ΔV≈\Delta V\approx  _____

 π{(x2)2}Δx\pi\left\{\left(x^2\right)^2\right\}\Delta x  

 π{(x2+2)2}Δx\pi\left\{\left(x^2+2\right)^2\right\}\Delta x  

 π{(x2)2−4}Δx\pi\left\{\left(x^2\right)^2-4\right\}\Delta x  

 π{(x2+2)2−4}Δx\pi\left\{\left(x^2+2\right)^2-4\right\}\Delta x  

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

 Daerah trianguler R dibatasi oleh y=x, y=0y=x,\ y=0  , dan  x=2x=2  dan diputar terhadap garis  x=-1 menghasilkan suatu padatan. Metode kulit tabung memberikan integral _____ sebagai volumenya.

 ∫022πx(2−x)dx\int_0^22\pi x\left(2-x\right)dx  

 ∫022π(1+x)xdx\int_0^22\pi\left(1+x\right)xdx  

 ∫022π(1+x)(2−x)dx\int_0^22\pi\left(1+x\right)\left(2-x\right)dx  

 ∫022π(1+x)(2−x)dx\int_0^22\pi\left(1+x\right)\left(2-x\right)dx  

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