Pembahasan soal Latihan UAS Calculus I

Pembahasan Latihan Soal UAS Calculus I – Bina Nusantara University
Jurusan Teknik Informatika dan Matematika
Created by : Felix Prima
@worldofequations
Soal ini telah diketik ulang.
SOAL
Do the easy thing first, the weight of each question is 20 points.
1. Use the appropriate method to calculate the integral below :
∫ 𝑥 2 sin 3𝑥 𝑑𝑥
Pembahasan :
_________________________________________________________
_________________________________________________________
_________________________________________________________
_________________________________________________________
_________________________________________________________
_________________________________________________________
_________________________________________________________
_________________________________________________________
_________________________________________________________
_________________________________________________________
_________________________________________________________
_________________________________________________________
2. Use the appropriate method to calculate the integral below :
5𝑥 − 7
∫ 2
𝑑𝑥
𝑥 − 3𝑥 + 2
Pembahasan :
_________________________________________________________
_________________________________________________________
_________________________________________________________
_________________________________________________________
_________________________________________________________
_________________________________________________________
_________________________________________________________
_________________________________________________________
_________________________________________________________
_________________________________________________________
_________________________________________________________
_________________________________________________________
_________________________________________________________
_________________________________________________________
3. Determine the area bounded between two curves intersect y = 2x and y = x 2 - x
Pembahasan :
_________________________________________________________
_________________________________________________________
_________________________________________________________
_________________________________________________________
_________________________________________________________
_________________________________________________________
_________________________________________________________
_________________________________________________________
_________________________________________________________
_________________________________________________________
_________________________________________________________
_________________________________________________________
4. Determine the volume of rotating object bounded by -x-axis, y-axis and the straight
line 3x  2y  6 is rotated about the y-axis.
Pembahasan :
_________________________________________________________
_________________________________________________________
_________________________________________________________
_________________________________________________________
_________________________________________________________
_________________________________________________________
_________________________________________________________
_________________________________________________________
_________________________________________________________
_________________________________________________________
_________________________________________________________
_________________________________________________________
_________________________________________________________
_________________________________________________________
_________________________________________________________
_________________________________________________________
_________________________________________________________
7𝑛
∞
5. Test the convergence of the series: ∑𝑛=1 2 Does the series converges or
𝑛
diverges?)
Pembahasan :
_________________________________________________________
_________________________________________________________
_________________________________________________________
_________________________________________________________
_________________________________________________________
_________________________________________________________
_________________________________________________________
_________________________________________________________
_________________________________________________________
_________________________________________________________
_________________________________________________________
_________________________________________________________
_________________________________________________________
_________________________________________________________
_________________________________________________________
_________________________________________________________
_________________________________________________________
_________________________________________________________