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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy
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Application +4 | -1
∫axxdx=\int \frac{a^{\sqrt{x}}}{\sqrt{x}} d x=
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Correct option: B
2axlog⁡ae+c2 a^{\sqrt{x}} \log _a e+c
Option B (2axlog⁡ae+c2 a^{\sqrt{{x}}} \log _a e+c) is correct because the integral can be solved by substitution and using the formula ∫axdx=axlog⁡ea+C=axlog⁡ae+C\int a^x dx = \frac{{a^x}}{{\log_e a}} + C = a^x \log_a e + C.

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