Question

6.
Z
ln (2x + 1) dx Answer: 1
2 (2x + 1) ln (2x + 1) − x + C
7.
Z p
3
1
arctan
1
x
dx Answer: 2
p
3−3
12  + ln
p
2
8.
Z
3xx3 dx Answer: 3x

x3
ln 3 − 3x2
(ln 3)2 + 6x
(ln x)3 − 6
(ln 3)4

+ C
9.
Z
ln (x + 1)
p
x + 1
dx Answer: 2
p
x + 1 ln (x + 1) − 4
p
x + 1 + C
10.
Z 1/4
0
sin−1(2x) dx Answer: 
24 +
p
3−2

Answer 1

this is so short. My God.

Answer 2

3^x x^3 dx integrate