Free Printable DM025 MATH FINALE (C5&C6)

1.

Integrate $\int\left(2x+1\right)^{10}\ dx$ with respect to x.

a)

$22\left(2x+1\right)^{11}+c$

b)

$\frac{1}{22}\left(2x+1\right)^{11}+c$

c)

$11\left(2x+1\right)^{10}+c$

d)

$\frac{1}{11}\left(2x+1\right)^{10}+c$

2.

$\int\left(6\sqrt{x}-1\right)dx$

a)

$6x^{\frac{3}{2}}+x+C$

b)

$4x^{\frac{3}{2}}-x+C$

c)

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

d)

6x+C

3.

Find the integral:

a)

1/3(x⁴ + 3)³ + c

b)

1/12(x⁴ + 3)³ + c

c)

3/4(x⁴ + 3)³ + c

d)

1/4(x⁴ + 3)³ + c

4.

∫ 2 x (x²- 3)^(1/2) dx

a)

(x²- 3)^(3/2)+C

b)

(3/2)(x²- 3)^(3/2)+C

c)

(2/3)(x²- 3)^(3/2)+C

d)

(2/3)(x²- 3)^(-1/2)+C

5.

$\int_{ }^{ }\sec^2\ 5x\ \ dx\ \ =$

a)

$\tan\ x\ \ +\ c$

b)

$\frac{1}{5}\tan\ x\ \ +\ c$

c)

$\frac{1}{5}\tan\ 5x\ \ +\ c$

d)

$\frac{1}{5}\tan^2\ 5x\ \ +\ c$

6.

$\int_{ }^{ }2\cos\left(6+3x\right)\ dx\ =$

a)

$\frac{2}{6}\sin\ \left(6+3x\right)\ +\ C$

b)

$\frac{1}{6}\sin\ \left(6+3x\right)\ +\ C$

c)

$\frac{2}{3}\sin\ \left(6+3x\right)\ +\ C$

d)

$\frac{2}{3x}\sin\ \left(6+3x\right)\ +\ C$

7.

Evaluate: $∫\sin⁡θ\cot⁡θdθ$

a)

$\sin⁡θ+C$

b)

$\cos⁡θ+C$

c)

$\cot⁡θ+C$

8.

$\int3^{4x}dx$

a)

$\frac{3^{4x}}{4\ln3}$

b)

$\frac{3^{4x}}{4\ln3}+c$

c)

$\frac{3^{5x}}{5\ln3}$

d)

$\frac{3^{5x}}{5\ln3}+c$

9.

$\int\left(\frac{1}{6x}\right)dx$

a)

$\frac{\ln\left(6x\right)}{6}+c$

b)

$6\ln\left(6x\right)+c$

c)

$-6\ln\left(6x\right)+c$

d)

$\ln\left(x\right)+c$

10.

$\int_{ }\frac{4}{5x-6}dx$

a)

$4\ln\left|5x-6\right|+c$

b)

$\frac{4}{5}\ln\left|5x-6\right|+c$

c)

$\frac{4}{5}\ln\left|5x-6\right|$

d)

$\ln\left|5x-6\right|+c$

DM025 MATH FINALE (C5&C6)

Total questions: 10

Worksheet time: 8mins

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