∫exlog⁡a⋅exdx is equal to | Mathematics | SolveeIt | Solveeit

Today, August 19

Question

∫exlog⁡a⋅exdx is equal to

A

(A) axlog⁡ae+c

B

(B) ax1+loge⁡a+c

C

(C) lae|x+c

D

(D) ∣aexloge⁡ae+c

Answer

(D) ∣aexloge⁡ae+c

Explanation

Solution

Explanation:
Let I=∫exlog⁡a⋅exdx=∫ax⋅exdx=∫(ae)xdx=(ae)xloge⁡ae+c