Free Printable Final Test Matematika Dasar II Kimia

1.

$\int x\ \sin\left(x\right)dx$

a)

$-x\ \cos\left(x\right)+\sin\left(x\right)+C$

b)

$-x\ \cos\left(x\right)-\sin\left(x\right)+C$

c)

$x\ \cos\left(x\right)+\sin\left(x\right)+C$

d)

$x\ \cos\left(x\right)-\sin\left(x\right)+C$

2.

$\int\ln x\ dx$

a)

$-x\ \ln\ x-x+C$

b)

$x\ \ln\ x-x+C$

c)

$x\ \ln\ x+x+C$

d)

$-x\ \ln\ x+x+C$

3.

Diberikan Teorema Pundamental berikut;

\int_a^bf\left(x\right)dx=F\left(b\right)-F\left(a\right)

Benar atau salah teorema tersebut

a)

Benar

b)

Salah

4.

$\int_0^4\sqrt{2x+1}\ dx$

a)

$\frac{26}{3}$

b)

$-\frac{26}{3}$

c)

$\frac{3}{26}$

d)

$-\frac{3}{26}$

5.

$\int_1^2\frac{dx}{\left(3-5x\right)^2}$

a)

$\frac{1}{14}$

b)

$-\frac{1}{14}$

c)

$-\frac{1}{7}$

d)

$\frac{1}{7}$

6.

$\int_0^1\sqrt{1+7x}\ dx=...$

4 lines

7.

$\int x^3\ \cos\left(x^4+2\right)dx$

a)

$\frac{1}{4}\sin\left(x^4+2\right)+C$

b)

$-\frac{1}{4}\sin\left(x^4+2\right)+C$

c)

$\frac{1}{4}\sin\left(x^4-2\right)+C$

d)

$\frac{1}{4}\sin\left(-x^4+2\right)+C$

8.

$\frac{dy}{dx}=\left(x^2+2x\right)dx$

a)

$y=\frac{1}{3}x^3+x^2+C$

b)

$y=-\frac{1}{3}x^3+x^2+C$

c)

$y=\frac{1}{3}x^3-x^2+C$

d)

$y=-\frac{1}{3}x^3-x^2+C$

9.

Selesaikan persamaan diferensial berikut:
$\frac{dy}{dx}=xy$

a)

$y=e^{\left(\frac{1}{2}x^2+C\right)}$

b)

$y=e^{-\left(\frac{1}{2}x^2+C\right)}$

c)

$y=e^{\left(-\frac{1}{2}x^2+C\right)}$

d)

$y=Ce^{\left(\frac{1}{2}x^2\right)}$

10.

$\int\sin\left(x\right)\cos\left(x\right)dx$

a)

$\frac{1}{2}\sin^2x+C$

b)

$-\frac{1}{2}\sin^2x+C$

c)

$-\sin^2x+C$

d)

$-2\sin^2x+C$

Final Test Matematika Dasar II Kimia

Total questions: 10

Worksheet time: 50mins

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