Chapters

Exercise 1
Exercise 2
Exercise 3
Exercise 4
Exercise 5
Exercise 6
Exercise 7
Exercise 8
Exercise 9
Exercise 10
Exercise 11
Exercise 12
Solution of exercise 1
Solution of exercise 2
Solution of exercise 3
Solution of exercise 4
Solution of exercise 5
Solution of exercise 6
Solution of exercise 7
Solution of exercise 8
Solution of exercise 9
Solution of exercise 10
Solution of exercise 11
Solution of exercise 12

Solve the following integrals:

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Exercise 1

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Exercise 2

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Exercise 3

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Exercise 4

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Exercise 5

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Exercise 6

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Exercise 7

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Exercise 8

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Exercise 9

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Exercise 10

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Exercise 11

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Exercise 12

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Solution of exercise 1

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Solution of exercise 2

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Solution of exercise 3

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Solution of exercise 4

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Solution of exercise 5

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Equal the coefficients of the two members.

0 = A + M

1 = A + M + N

0 = A + N

A = -1, M = 1, N = 1

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

Multiply by 2 in the second integral.

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

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Decompose the second integral into two others.

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Solve the first two integrals.

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Transform the denominator of a squared binomial.

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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.

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Solution of exercise 6

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

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Multiply and divide in the first fraction by 2.

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Transform the denominator of a squared binomial.

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Realize a change of variable.

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Solution of exercise 7

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Solution of exercise 8

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Solution of exercise 9

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Integrate by parts.

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Make the second integral.

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Solution of exercise 10

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Solution of exercise 11

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Solution of exercise 12

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Integral Worksheets

Exercise 1

Exercise 2

Exercise 3

Exercise 4

Exercise 5

Exercise 6

Exercise 7

Exercise 8

Exercise 9

Exercise 10

Exercise 11

Exercise 12

Solution of exercise 1

Solution of exercise 2

Solution of exercise 3

Solution of exercise 4

Solution of exercise 5

Solution of exercise 6

Solution of exercise 7

Solution of exercise 8

Solution of exercise 9

Solution of exercise 10

Solution of exercise 11

Solution of exercise 12

Theory

Problems of trigonometric integrals IV

Fundamental Theorem of Calculus II

Definite Integral

Trigonometric Integrals

Integral of a Power

Area of a Function

Area between Two Functions

Integration of Rational Functions

Integration Techniques Worksheet

Inverse Trigonometric Result

Table of Integrals

Average Function Value

Integration

Integration by Parts

Integration by Substitution

Fundamental Theorem of Calculus I

Trigonometric Integrals

Integral of Exponential Function

Volume of a Function

Formulas

Integral Formulas

Exercises

Solved Integrals Worksheet

Volume of Function Word Problems

Integral of a power Worksheet

Area of Function Problems

Problems of trigonometric integrals I

Problems Integrals Inverse Trigonometric Result

Integration Methods Worksheet

Exponential integral

Integration Worksheets

Integrals Worksheet

Definite Integral Worksheets

Integration Problems

Problems of trigonometric integrals II

Integral Worksheets

Problems of trigonometric integrals III

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