Chapters

Exercise 1
Exercise 2
Exercise 3
Exercise 4
Exercise 5
Exercise 6
Exercise 7
Exercise 8
Exercise 9
Exercise 10
Exercise 11
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

Calculate 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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Solution of exercise 1

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Solution of exercise 2

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Solution of exercise 3

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If $\text{[math]}$ , then $\text{[math]}$ .

If $\text{[math]}$ , then $\text{[math]}$

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Suppose $\text{[math]}$ , then $\text{[math]}$

If $\text{[math]}$ , then $\text{[math]}$

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If u = 6x + 10, then u' = 6

If v' = $\text{[math]}$ , then $\text{[math]}$

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Solution of exercise 4

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If u = lnx, then $\text{[math]}$

If v' = 1, then v = x

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Solution of exercise 5

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If $\text{[math]}$ , then $\text{[math]}$

If v' = cos x, then v = sin x

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If $\text{[math]}$ , then $\text{[math]}$

If v' = sin x, then v = -cos x

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Solution of exercise 6

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To calculate A, B and C, we substitute x with −3:

Derive and replace with −3:

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x = -3 -20 = B

Derive again:

6 = 2A A = 3

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Also, the coefficients can be found by realizing the operations and equaling coefficients:

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-2 = 19 + B

5 = 27 + C

3 = A

B = -20

C = 38

Solution of exercise 7

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Solution of exercise 8

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t = -1 1 = -2A A = $\text{[math]}$

t = 1 1 = 2B B = $\text{[math]}$

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Solution of exercise 9

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Solution of exercise 10

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= $\text{[math]}$

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Solution of exercise 11

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Integration Methods Worksheet

Exercise 1

Exercise 2

Exercise 3

Exercise 4

Exercise 5

Exercise 6

Exercise 7

Exercise 8

Exercise 9

Exercise 10

Exercise 11

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

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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