Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Indefinite Integration

Question:

The integral $\int e^x\left(\log x+\frac{1}{x^2}\right) d x$ equals for some arbitrary constant k

Options:

$e^x\left(\log x+\frac{1}{x^2}\right)+k$

$e^x\left(\log x-\frac{1}{x}\right)+k$

$e^x\left(\log x-\frac{1}{x^2}\right)+k$

$e^x\left(\log x+\frac{1}{x}\right)+k$

Correct Answer:

$e^x\left(\log x-\frac{1}{x}\right)+k$

Explanation:

The correct answer is Option (2) → $e^x\left(\log x-\frac{1}{x}\right)+k$