Question
Download Solution PDF∫ xx(1 + log x)dx is equal to
This question was previously asked in
VITEEE PYP_125Qs150Min125Marks
Answer (Detailed Solution Below)
Option 1 : xx + C
Free Tests
View all Free tests >
JEE Main 2025 (Session II) All India Live Test
4 K Users
75 Questions
300 Marks
180 Mins
Detailed Solution
Download Solution PDFCalculation
Let xˣ = t. Then,
⇒ d(xˣ) = dt
⇒ d(elog xx) = dt
⇒ d(ex log x) = dt
⇒ ex log x (log x + 1) dx = dt
⇒ xˣ (1 + log x) dx = dt
Therefore, I = xˣ (1 + log x) dx
⇒ I = dt = t + C = xˣ + C
Hence option 1 is correct
Last updated on Jul 3, 2025
->Vellore Institute of Technology will open its application form for 2026 on November 4, 2025.
->The VITEEE 2026 exam is scheduled to be held from April 20, 2026 to April 27, 2026.
->VITEEE exams are conduted for admission to undergraduate engineering programs at the Vellore Institute of Technology (VIT) and its affiliated campus.
->12th pass candidates can apply for the VITEEE exam.