Get Answers to all your Questions

header-bg qa

Need solution for RD Sharma Maths Class 12 Chapter 18 Indefinite Integrals Excercise Very Short Answers Question 49

Answers (1)

Answer: \frac{x^{3}}{3}+x+c

Hints: You must know about the integral rule of functions.

Given: \int \frac{x^{3}-x^{2}+x-1}{x-1}dx


\begin{aligned} &\int \frac{x^{3}-x^{2}+x-1}{x-1} d x \\ &\int \frac{x^{2}(x-1)+1(x-1)}{x-1} d x \\ &\int \frac{\left(x^{2}+1\right)(x-1)}{x-1} d x \\ &\int\left(x^{2}+1\right) d x \end{aligned}

\begin{aligned} &\int x^{2} d x+\int 1 d x \\ &=\frac{x^{3}}{3}+x+c \quad\quad\quad\quad\quad\left[\int x^{n} d x=\frac{x^{n+1}}{n+1}\right]\\ \end{aligned}

Posted by


View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support