Question:medium

The integral $\int \frac{e^x (1 + x)}{\cos^2(x e^x)} \, dx =$

Show Hint

The derivative of $x e^x$ is $e^x(x+1)$. Seeing this combination in any integrand strongly suggests substituting $u = x e^x$.
Updated On: May 31, 2026
  • $\tan(x e^x) + C$
  • $-\tan(x e^x) + C$
  • $\cot(x e^x) + C$
  • $-\cot(x e^x) + C$
Show Solution

The Correct Option is A

Solution and Explanation

Was this answer helpful?
0

Top Questions on integral

Questions Asked in AP EAPCET exam