Câu 18. Chọn đáp án đúng.
a, R x
(x+1)(2x+1) dx
A. ln |x + 1| − ln |2x + 1| + C B. ln |x + 1| − 1 2 ln |2x + 1| + C
C. ln |x + 1| − 2 ln |2x + 1| + C D. ln |x + 1| + 1 2 ln |2x + 1| + C
b, R 1
3x
2−2x−1 dx
A. 1 4 ln | 3x−1 3x+1 | + C B. 1 4 ln | 3(x−1) 3x+1 | + C
C. 3 4 ln | 3x−1 3x+1 | + C D. 3 4 ln | 3(x−1) 3x+1 | + C
c, R x
x
2−2x+1 dx
A. ln |x − 1| + x−1 1 + C B. 1 2 ln |x − 1| + x−1 1 + C
C. ln |x − 1| − x−1 1 + C D. 1 2 ln |x − 1| − x−1 1 + C
d, R 2
x(x
2+1) dx
A. ln | x
2x +1
2 | + C B. ln( x
2x +1
2 ) + C C. ln |1 − x 1
2| + C D. ln(1 + x 1
2) + C
e, R x
3(x
2+1)
2dx
A. ln(x 2 + 1) + x
21 +1 + C B. 1 2 (ln(x 2 + 1) + x
21 +1 ) + C
C. ln(x 2 + 1) − x
21 +1 + C D. 1 2 (ln(x 2 + 1) − x
21 +1 ) + C
cos 2 2xdx
f, R
A. 1 2 x − 1 4 sin 4x + C B. 1 2 x + 1 4 sin 4x + C
C. 1 2 (x − 1 4 sin 4x) + C D. 1 2 (x + 1 4 sin 4x) + C
g, R 1
sin x dx
A. 1 2 ln | cos cos x−1 x+1 | + C B. 1 2 ln | cos cos x+1 x−1 | + C
C. ln | cos cos x−1 x+1 | + C D. ln | cos cos x+1 x−1 | + C
h, R 1
1+sin x dx
A. tan(x− π 4 )+C B. tan( x 2 − π 4 )+C C. tan(x+ π 4 )+C D. tan( x 2 + π 4 )+C
i, R 1−cos x
1+cos x dx
A. tan x 2 − x 2 + C B. 2(tan x 2 − x 2 ) + C
C. 2(tan x 2 + x 2 ) + C D. tan x 2 + x 2 + C
k, R cos 2x
1+sin x cos x dx
A. ln |2 + sin 2x| + C B. ln |2 − sin 2x| + C
C. ln |2 + cos 2x| + C D. ln |2 − cos 2x| + C
cos 2x cos 4xdx
l, R
A. 1 6 sin 6x + 1 4 sin 4x + C B. 1 6 sin 6x + 1 4 sin 2x + C
C. 12 1 sin 6x + 1 4 sin 2x + C D. 12 1 sin 6x + 1 4 sin 4x + C
m, R sin
3x
cos x dx
A. cos 2 x − ln | cos x| + C B. 1 2 cos 2 x − ln | cos x| + C
C. cos 2 x + ln | cos x| + C D. 1 2 cos 2 x + ln | cos x| + C
n, R 1
cos
4x dx
A. tan x + 1 3 tan 3 x + C B. tan x − 1 3 tan 3 x + C
C. 2 tan x + 1 3 tan 3 x + C D. 2 tan x − 1 3 tan 3 x + C
sin 3 x cos 2 xdx
o, R
A. 1 5 cos 5 x + 1 3 cos 3 x + C B. 1 5 cos 5 x − 1 3 cos 3 x + C
C. 1 4 cos 4 x + 1 3 cos 3 x + C D. 1 4 cos 4 x − 1 3 cos 3 x + C
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