e^x_e a.e^x dx is: [where C is an arbitrary constant] Option 1: e^x/1+_e(ae) + C Option 2: a^x/_e(ae) + C Option 3: (ae)^x + C Option 4: a^xe^x/1+_e a + C

The answer is 'a^xe^x/1+_e a + C'. View full solution:

CUET Mathematics - e^x_e a.e^x dx is: [where C is an arbitrary constant] | PYQs + Solutions

CUET Mathematics 2026 30th May Shift 2

Calculus

Medium

common

$\frac{e^x}{1+\log_e(ae)} + C$

$\frac{a^x}{\log_e(ae)} + C$

$(ae)^x + C$

$\frac{a^xe^x}{1+\log_e a} + C$

✅ Correct Option: 4