If l₁= d dx ( e ^ x ) aligned & l₂= _ h 0 e ^ ( x + h ) - e ^ x h & l₃= e ^ x xdx aligned then which one of the following is correct?

Step-by-step solution

aligned & l₁= d dx ( e ^ x ) & l₂= _ h 0 e ^ ( x + h ) - e ^ x h aligned aligned & l₃= e ^ x xdx & l₂= _ h 0 e ^ ( x + h ) - e ^ x h = d dx ( e ^ x )=l₁ aligned l₃= e ^ x xdx Let x = t xdx = dt l₃= e ^ t dt = e ^ t + c = e ^ x + c d dx (l₃ )= d dx ( e ^ x + c )= d dx ( e ^ x )=l₁=l₂