See the attached file for questioins
Thehonest
2.docPblem 1:
Decompose the fraction
3x3 + 3x2
x2 + x − 2
3x
3
+3x
2
x
2
+x-2
Problem 2:
Evaluate the integral
7x2 − 4x + 4 x3 +1∫ dx
7x
2
-4x+4
x
3
+1
ò
dx
Problem 3:
Evaluate the integral
25− x2
x2∫ dx
25-x
2
x
2
ò
dx
Problem 4:
Complete the square, make the appropriate substitutions, and evaluate the integral
1 x2 − 6x −16
dx∫
1
x
2
-6x-16
dx
ò
Problem 5:
Evaluate the integral
sin 7x( )cos2 7x( )dx∫
sin7x
()
cos
2
7x
()
dx
ò
