Name: Solution Registration Number: Solution
Quiz No. 8
Calculus-I Section-3
=====================================================================
Problem: Evaluate the integral
.
)tanln(sec
sec
dx
xx
x
Solution:
Let
dx
xx
x
I)tanln(sec
sec
xdxxxI sec)]tan[ln(sec 2
1
Notice that
.sec)sectan(sec
tansec
1
)tanln(sec 2xxxx
xx
xx
dx
d
dxxx
dx
d
xxI )tanln(sec)]tan[ln(sec 2
1
C
n
xf
dxxfxfC
xx
In
n
1
)]([
)()]([
2
1
)]tan[ln(sec 1
/
2
1
.)tanln(sec2 CxxI
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