Free Printable tugas Teinik Integral

1.

$\int_{ }^{ }\left(2x-5\right)^6dx\ =\ ...$

a)

$\frac{1}{7}\left(2x-5\right)^7+c$

b)

$\left(2x-5\right)^7+c$

c)

$\frac{1}{14}\left(2x-5\right)^7+c$

d)

$\frac{2}{7}\left(2x-5\right)^7+c$

2.

$\int_{ }^{ }\ \frac{x}{\left(1-2x^2\right)^6}\ dx^{\ }=\ ...$

a)

$-\frac{1}{20\left(1-2x^2\right)^5}+c$

b)

$\frac{1}{20\left(1-2x^2\right)^5}+c$

c)

$-\frac{1}{5\left(1-2x^2\right)^5}+c$

d)

$\frac{1}{5\left(1-2x^2\right)^5}+c$

3.

$\int_{ }^{ }x\sqrt{x^2-1}\ dx\ =\ ...$

a)

$\frac{x}{3}\left(x^2-1\right)^{\frac{3}{2}}+c$

b)

$\frac{1}{3}\left(x^2-1\right)^{\frac{2}{3}}+c$

c)

$\frac{1}{3}\left(x^2-1\right)^{\frac{3}{2}}+c$

d)

$\frac{x}{3}\left(x^2-1\right)^{\frac{2}{3}}+c$

4.

$\int_{ }^{ }2x^3\left(x^4-1\right)^3\ dx\ =...$

a)

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

b)

$\frac{1}{4}\left(x^4-1\right)^4+c$

c)

$-\frac{1}{6}\left(x^4-1\right)^4+c$

d)

$\frac{1}{8}\left(x^4-1\right)^4+c$

5.

$\int_{ }^{ }3x\sqrt{\left(x^2+5\right)^3}\ dx\ =\ ...$

a)

$\frac{1}{3}\left(x^2+5\right)\sqrt{x^2+5}+c$

b)

$3\left(x^2+5\right)^{\frac{5}{2}}+c$

c)

$\frac{1}{5}\left(x^2+5\right)^{\frac{5}{2}}+c$

d)

$\frac{3}{5}\left(x^2+5\right)^2\sqrt{x^2+5}+c$

6.

)Gradien garis singgung dari sembarang titik P(x,y) pada grafik fungsi y=f(x) ditentukan oleh y' = 4x. Jika grafik tersebut melalui (2,1), maka persamaan grafiknya adalah....

a)

$y=2x^2-7$

b)

$y=2x^2+7$

c)

$y=2x^2-8$

d)

$y=2x^2+8$

e)

$y=x^2-8$

7.

$a\left(t\right)=3t^2+6t-2$ Diketahui rumus percepatan a(t) seperti di atas. Jika v(2)=8, rumus v(t)=....

a)

$t^3+3^2-2t+8$

b)

$t^3+3^2-2t+6$

c)

$t^3+3^2-2t+4$

d)

$t^3+3^2-2t+2$

e)

$t^3+3^2-2t-8$

8.

Integral disebut juga....

a)

Deferensial

b)

Turunan

c)

Interparsial

d)

Anti Turunan

e)

Fungsi Turunan

9.

Biaya marginal suatu perusahaan ditunjukkan oleh $MC=4Q^2-3Q+5$ , dengan Q = banyaknya unit dan biaya tetap k = 3, k adalah konstansta integral. Tentukan persamaan biaya total.

a)

$C=\frac{1}{3}Q^3-\frac{1}{2}Q^2+5Q+3$

b)

$C=4Q^3-3Q^2+5Q+3$

c)

$C=\frac{3}{4}Q^3+\frac{2}{3}Q^2+5Q+3$

d)

$C=\frac{4}{3}Q^3-\frac{3}{2}Q^2+5Q+3$

e)

$C=\frac{4}{3}Q^3+\frac{3}{2}Q^2-5Q+3$

10.

Tentukan nilai dari integral berikut:
$\int_0^3\left(x-3\right)^2dx$

a)

-27

b)

-3

c)

3

d)

9

e)

63

tugas Teinik Integral

Total questions: 10

Worksheet time: 50mins

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