UrbanPro
true

Take Class 12 Tuition from the Best Tutors

  • Affordable fees
  • 1-1 or Group class
  • Flexible Timings
  • Verified Tutors

Search in

Solution to a trigonometric problem requested by one student

B.Sudhakar
14/01/2017 0 1

∫ sin 4x cos 2x dx       as we don't have any ready made formulae for product of function in integration, let's split it into sum or difference.

sin A cos B = 1/2 {sin (A + B ) + sin ( A - B )}

A= 4x,  B = 2x.    ( A + B ) =( 4x + 2x )= 6x.   ( A - B ) = ( 4x - 2x )=2x

∴ ∫ sin 4x cos 2x dx =1/2 { ∫ sin 6 x + sin 2x dx }

=1/2{ ∫ sin 6x dx + ∫ sin 2x dx }

= 1/2 {( -1/6 cos 6x ) +(- 1/2 cos 2x )} + C.      ( ∫ sin ax dx= - 1/a cos ax + C )

= - 1/2 { 1/6 cos 6x +1/2 cos 2x } + C

= - 1/2• 1/6 { cos 6x + 3 cos 2x }  + C

= - 1/12 { cos 6 x + 3 cos 2x } + C

 

0 Dislike
Follow 0

Please Enter a comment

Submit

K

Karthik | 14/01/2017

Neatly explained.

1 0

Other Lessons for You

Electromagnetic Spectrum
ELECTROMAGNETIC SPECTRUM An electromagnetic wave is not a single wavelength radiation, but a mixture of various wavelength or frequencies.All the frequencies have the same speed (=C) the speed of light.If...

How to solve 2D, 3D problems?
Let us take a problem in 3D? Consider the triangle A(0,0,0), B(1,1,1) and C(0,0,1). What is the area of this triangle? Solution: As we cannot plot these points, we analyse them as where they lie in...

How to understand Mensuration - Simplified.
One of the chapters in X standard Maths that students feel tough is the chapter of Mensuration. However, its one of the most easiest chapter to score as well!! How? Lets take an interesting formula on...

MATHS IS EASY
Mathematics is based on formulas and method to use them.The practice make you perfect in this subject. Prepare according to syllabus, try to solve old papers, revise the concept you learned and try to...
M

Mohit S.

1 0
0

How to get good marks in exam without reading much?
For that your mind should be stable.Whatever you read that should fit in in your mind. This happens only in stable mind. For stable mind you have to meditate. Wake up early wash your face and sit in open...
K

Kushal Sharma

0 0
0
X

Looking for Class 12 Tuition Classes?

The best tutors for Class 12 Tuition Classes are on UrbanPro

  • Select the best Tutor
  • Book & Attend a Free Demo
  • Pay and start Learning

Take Class 12 Tuition with the Best Tutors

The best Tutors for Class 12 Tuition Classes are on UrbanPro

This website uses cookies

We use cookies to improve user experience. Choose what cookies you allow us to use. You can read more about our Cookie Policy in our Privacy Policy

Accept All
Decline All

UrbanPro.com is India's largest network of most trusted tutors and institutes. Over 55 lakh students rely on UrbanPro.com, to fulfill their learning requirements across 1,000+ categories. Using UrbanPro.com, parents, and students can compare multiple Tutors and Institutes and choose the one that best suits their requirements. More than 7.5 lakh verified Tutors and Institutes are helping millions of students every day and growing their tutoring business on UrbanPro.com. Whether you are looking for a tutor to learn mathematics, a German language trainer to brush up your German language skills or an institute to upgrade your IT skills, we have got the best selection of Tutors and Training Institutes for you. Read more