# Integral Worksheets

### Solutions

Solve the following integrals:

1

2

3

4

5

6

7

8

9

10

11

12

## 1

## 2

## 3

## 4

## 5

Equal the coefficients of the two members.

The first integral is of logarithmic type and the second has to be broken in two.

Multiply by 2 in the second integral.

The 2 in the numerator of the second integral transforms into 1 + 1.

Decompose the second integral into two others.

Solve the first two integrals.

Transform the denominator of a squared binomial.

Multiply the numerator and denominator by 4/3, to obtain one in the denominator.

Under the squared binomial, multiply by the square root of 4/3.

## 6

Add and subtract 3 in the numerator, decompose into two fractions and in the first one remove common factor 3.

Multiply and divide in the first fraction by 2.

Transform the denominator of a squared binomial.

Realize a change of variable.