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

Please Enter a comment

K

Karthik | 14/01/2017

Neatly explained.

## Other Lessons for You

Bonus Issue
Bonus means Issue of Shares by a Company without any consideration. Bonus Issue: It is an additional dividend given to the shareholders that can be in cash or in the form of stock. When companies have...
F

Elementary Differential and Integral calculus
Calculus is one of the branches of Mathematics that involves in the study of ‘Rage to Change’ and their application to solving equations. It has two major branches, Differential Calculus that...
N

Nisha

Learn the basic .
Always try to start from core and basic . build your Weaker subject more stronger and Stronger one your strength.

Circular motion
Circular motion is rotation along a circle: A circular path or a circular orbit. It can be uniform, that is, with constant angular rate of rotation, or non-uniform, that is, with a changing rate of rotation. Examples...

Living with Concepts
Always it is a complain from many students that they do not remember concepts taught and learnt as time progresses. Even exceptional students also falls pray to effect of time fading. The tip which i generally...
B

Babu T

### Looking for Class 12 Tuition ?

Learn from Best Tutors on UrbanPro.

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you

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