Choose the correct answers in Exercises 41 to 44 41 x
x
dx
e
+e−
∫
 is equal to
(A) tan–1 (ex) + C
(B) tan–1 (e–x) + C
(C) log (ex – e–x) + C
(D) log (ex + e–x) + C
42 2
(sincos2
cos )
x
dx
x
x
+
∫
 is equal to
(A)
–1
C
sin
cos
x
x
+
+
(B) log |sin
cos |
C
x
x
+
+
(C) log |sin
cos |
C
x
x
−
+
(D)
2
1
(sin
cos )
x
x
+
354
MATHEMATICS
43