Quiz about Recall Integration Techniques

Question 1

Find $$\int_{ }^{ }x^8\ dx$$

Accepted Answer

$$\frac{x^9}{9}$$ +c

Answer

$$8x^7$$ +c

Answer

$$8x^9$$ +c

Answer

$$\frac{x^7}{7}$$ +c

Question 2

Find $$\int_{ }^{ }\left(3x+1\right)^8\ dx$$

Accepted Answer

$$\frac{\left(3x+1\right)^9}{27}+c$$

Answer

$$8\left(3x+1\right)^7+c$$

Answer

$$\frac{\left(3x+1\right)^9}{9}+c$$

Answer

$$\frac{3\left(3x+1\right)^9}{9}+c$$

Question 3

Find $$\int_{ }^{ }x^{-1}\ dx$$ .

Accepted Answer

Answer

$$\frac{x^0}{0}+c$$

Answer

$$-x^{-2}+c$$

Answer

$$x^{-1}+c$$

Question 4

Find $$\int_{ }^{ }\frac{1}{5x+1}dx$$ .

Accepted Answer

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

Answer

$$\ln\left(5x+1\right)+c$$

Answer

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

Answer

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

Question 5

Find $$\int_{ }^{ }e^{\left(1-8x\right)}dx$$

Accepted Answer

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

Answer

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

Answer

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

Answer

$$\frac{e^{\left(2-8x\right)}}{2-8x}+c$$

Recall Integration Techniques