Questions and Solutions

Class: 12 Subject: Math Type: Mcq Year: 2023

Question 1:

\(\int\frac{x-3}{(x-1)^{3}}e^{x}dx\) is equal to:

  • A. \(\frac{2~e^{x}}{(x-1)^{3}}+C\)
  • B. \(\frac{-2~e^{x}}{{(x-1)}^{2}}+C\)
  • C. \(\frac{e^{x}}{(x-1)}+C\)
  • D. \(\frac{e^{x}}{{(x-1)}^{2}}+C\)
Class: 12 Subject: Math Type: Mcq Year: 2024

Question 2:

If \( \int\frac{2^{\frac{1}{x}}}{x^{2}}dx = k\cdot2^{\frac{1}{x}} + C \), then \( k \) is equal to:

  • A. \( \frac{-1}{\log 2} \)
  • B. \( -\log 2 \)
  • C. -1
  • D. \( \frac{1}{2} \)