Get Answers to all your Questions

header-bg qa

Need solution for RD Sharma maths class 12 chapter 19 Definite Integrals exercise Very short answer type question 31

Answers (1)


Answer: 2

Hint: you must know the rule of integration

Given: \text { If } \int_{0}^{1}\left(3 x^{2}+2 x+k\right) d x=0 \text { find } k

Solution:  \int_{0}^{1}\left(3 x^{2}+2 x+k\right) d x=0

\begin{aligned} &{\left[\frac{3 x^{3}}{3}+\frac{2 x^{2}}{2}+k x\right]_{0}^{1}=0} \\\\ &{\left[x^{3}+x^{2}+k x\right]_{0}^{1}=0} \end{aligned}

\begin{aligned} &{[1+1+k-0]=0} \\\\ &k=-2 \end{aligned}


Posted by


View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support