Prepared by: ENGR. JIMREY C. TOMORIC, REE, RME
MATH 124 / MATH 29
CALCULUS 2: Integral calculus
ASSIGNMENT NO.: 5
Name: ______________________________________ Course&Yr:______________ Score: ____________
General Instructions: Write your solutions in a long bond paper. A maximum of four (4) items per sheet.
Don’t write at the back of each answer sheet.
Write your solutions/answers legibly and neatly.
Enclose final answer(s) in a box.
Evaluate the following integrals using INTEGRATION BY PARTS or TRIGONOMETRIC
SUBSTITUTION. For DEFINITE INTEGRALS, solve first by using the properties/formulas
then by calculator.
1. ∫𝑥4sin(2𝑥) 𝑑𝑥
2. ∫𝑥 arccot 𝑥 𝑑𝑥
3. ∫sec9𝑥𝑑𝑥
4. ∫𝑥3√9 − 𝑥2𝑑𝑥
5. ∫𝑥𝑒𝑥𝑑𝑥
(1+𝑥)2
1
0
6. ∫√9−𝑥2𝑑𝑥
𝑥2
7. ∫√4−𝑥2
𝑥𝑑𝑥
8. ∫𝑑𝑧
(𝑧2+16)3/2
9. ∫𝑟2𝑑𝑟
√𝑟2−4
10. ∫(9 − 𝑥2)5/2𝑑𝑥
3
0
Republic of the Philippines
EASTERN VISAYAS STATE UNIVERSITY
ORMOC CITY CAMPUS
ENGINEERING DEPARTMENT
