Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Need solution for RD Sharma Maths Class 12 Chapter 18 Indefinite Integrals Excercise Very Short Answers Question 49

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

Solution:

\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

infoexpert27

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

CBSE Board Exams 2025: Guidelines issued for Class 10, 12 practicals
anam-khan

Board Exam Date Sheet 2025 Live: ICSE, ISC, CBSE, MP time table out; BSEB routine soon
anam-khan

Board exam dates 2025: CBSE, CISCE, UP, MP, Maharashtra, TN time table out; state-wise updates

Latest Question