In this activity students will evaluate 16 definite integrals using their properties and the following techniques of integration:
► integration by substitutions (u-substitution & trig substitutions)
► integration by parts
► completing the square
► trigonometric integrals & using trig identities
► partial fractions decomposition and long division
The resource contains multiple - choice questions - definite integrals to be calculated. Problems range in difficulty as the problems of the second part of the quiz are more complex. Students will need their correct answers to find out the configuration of a hidden constellation. Here’s how:
Students are given a figure with shapes of a circle, called “stars”. Sixteen of them are labeled with the correct answers of students’ questions and form the configuration of the constellation Draco. Students connect the “stars” of the constellation with straight lines in a specified sequence. At last, they try to identify the constellation.
A recording sheet is included for students to show how the answers are obtained. An answer key is included.
The product can be used for class work, independent or grouped (groups of 2 or 4). It could be splitted into two parts. The quiz can be used as an assessment as well.
This activity is included in my TECHNIQUES OF INTEGRATION ACTIVITIES BUNDLE:
Calculus 1 & 2 : Techniques of Integration Activities BUNDLE