egin{align} intleft(1-x ight).sqrt | Class 12 Mathematics Chapter Integrals, Integrals NCERT Solutions

Question: \begin{align} \int\left(1-x\right).\sqrt {x}.dx\end{align}
Answer:

\begin{align} \int\left(1-x\right).\sqrt {x}.dx\end{align}

\begin{align} =\int \left(\sqrt {x} - x^\frac32\right).dx\end{align}

\begin{align} =\frac{x^{\displaystyle\frac32}}{\displaystyle\frac32} - \frac{x^{\displaystyle\frac52}}{\displaystyle\frac52}+C \end{align}

\begin{align} =\frac23\;x^\frac32\; - \frac25\;x^\frac52\;+C \end{align}

 

 


Study Tips for Answering NCERT Questions:

NCERT questions are designed to test your understanding of the concepts and theories discussed in the chapter. Here are some tips to help you answer NCERT questions effectively:

  • Read the question carefully and focus on the core concept being asked.
  • Reference examples and data from the chapter when answering questions about Integrals.
  • Review previous year question papers to get an idea of how such questions may be framed in exams.
  • Practice answering questions within the time limit to improve your speed and accuracy.
  • Discuss your answers with your teachers or peers to get feedback and improve your understanding.

Comments

Comment(s) on this Question

Welcome to the NCERT Solutions for Class 12 Mathematics - Chapter . This page offers a step-by-step solution to the specific question from Excercise 1 , Question 14: egin{align} intleft(1-x ight).sqrt {x}.dxend{align}....