Integrals cos3x | Class 12 Mathematics Chapter Integrals, Integrals NCERT Solutions

Question: Integrals cos3x
Answer:

The anti derivative of cos 3x is a function of x whose derivative is cos 3x.

It is known that,

\begin{align} \frac {d}{dx} (sin 3x) = 3 cos3x \end{align}

⇒ \begin{align} cos 3x =\frac {1}{3} \frac {d}{dx}(sin 3x) \end{align} 

∴  \begin{align} cos 3x = \frac {d}{dx}\left(\frac {1}{3}sin 3x\right) \end{align} 

Therefore, the anti derivative of cos3x is 

\begin{align} sin 2x \;is \frac {1}{3}sin 3x \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.

Notice: Undefined index: quesId in /var/www/html/ss_beta/saralstudy/ss_new/web/template/common/comment_section.php on line 3

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 2: Integrals cos3x....