Match the following. I.∫ex(sinx+cosx)dx= a)extanx+c II.∫ex(cosx−sinx)dx= b)exlogsecx+c III.∫ex(tanx+sec2x)dx= c)exsinx+c IV. ∫ex(tanx+logsecx)dx= d)excosx+c
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Q4
If ∫xlog(x+√1+x2)√1+x2dx=A√1+x2log(x+√1+x2)+Bx+C, then
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Q5
If ∫log(x2+x)dx=xlogx+(x+1)log(x+1)+K, then K is equal to