Topic

# Fundamental Theorem of Indefinite Integrals

Topic Progress:

$$\displaystyle \int{(ax+b)^n}dx = \dfrac{(ax+b)^{n+1}}{a(n+1)}+C$$

## Practice Questions

### Question 1

Find $\displaystyle \int{(2x+1)^4}dx$.

### Question 2

Find $\displaystyle \int{(2x-1)^3}dx$.

### Question 3

Find $\displaystyle \int{\Big(\dfrac{x}{3}-1\Big)^5}dx$.

### Question 4

Find $\displaystyle \int{(4-3x)^6}dx$.

### Question 5

Find $\displaystyle \int{\dfrac{1}{(3x+1)^4}}dx$.

### Question 6

Find $\displaystyle \int{\frac{1}{(5x+4)^2}}dx$.

### Question 7

Find $\displaystyle \int{\dfrac{2}{5(4x-1)^3}}dx$.

### Question 8

Find $\displaystyle \int{\dfrac{4}{3(1-2x)^5}}dx$.

### Question 9

Find $\displaystyle \int{\sqrt{3x+2}}dx$.

### Question 10

Find $\displaystyle \int{\sqrt{1-2x}}dx$.

### Question 11

Find $\displaystyle \int{\sqrt{(4x+1)^5}}dx$.

### Question 12

Find $\displaystyle \int{\sqrt[3]{6x+1}}dx$.

### Question 13

Find $\displaystyle \int{\sqrt[4]{(2x-5)^3}}dx$.

### Question 14

Find $\displaystyle \int{\sqrt[3]{(2-3x)^4}}dx$.

### Question 15

Find $\displaystyle \int{\frac{1}{\sqrt{6x-1}}}dx$.

### Question 16

Find $\displaystyle \int{\dfrac{1}{\sqrt{4x-2}}}dx$.

### Question 17

Find $\displaystyle \int{\dfrac{1}{\sqrt[3]{1-3x}}}dx$.

### Question 18

Find $\displaystyle \int{\dfrac{6}{\sqrt{(4x+3)^3}}}dx$.

### Question 19

Find $\displaystyle \int{\dfrac{5}{2\sqrt[3]{(1-6x)^2}}}dx$.