Match the following. (a) ∫log x dx (i) (x + 1)^3/3 + c (b) ∫ tan^3x dx, x∈[-π/2, π/2] (ii) π/4 (c) ∫1/2x dx (iii) x (logx - 1)

Question

Match the following.

(a) \(\int\)log x dx	(i) (x + 1)3/3 + c
(b) \(\int\limits_{-π/2} ^{π/2}\)tan3x dx	(ii) π/4
(c) \(\int\)1/2x dx	(iii) x (logx - 1)
(d) \(\int\limits_{0} ^{π/2}\)sin6x/(sin6x + cos6x)dx	(iv) 0
(e) \(\int\)(x + 1)2 dx	(v) 1/2 log|x| +c

Answer 1

(a) – (iii) 

(b) – (iv) 

(c) – (v) 

(d) – (ii) 

(e) – (i)