true

Take Class 12 Tuition from the Best Tutors

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

Search in

# Integration of sin x from first principles

P
Pramod .
18/10/2021 0 0

y' = Lt   [f(x+∆x) - f(x)]/∆x

∆x => 0

Therefore if y = sin x

y' = Lt  [sin (x + ∆x) - sin x] / ∆x

∆x=>0

y' = Lt [sin x cos ∆x+cos x sin ∆x - sin x]/∆x

∆x => 0

=>Lt [ sin x cos ∆x - sin x + cos x sin ∆x]/∆x

∆x => 0

=> Lt [ sin x (cos ∆x - 1) + cos x sin ∆x]/ ∆x

∆x => 0s

=>sin x Lt(cos ∆x-1)/∆x+cos xLt(sin ∆x/∆x)

∆x => 0                         ∆x=> 0

=> sin x • 0 + cos x• 1

=> dy/dx (sin x) = 0 + cos x

=> dy/dx (sin x ) = cos x

[ Lt sin x/x = 1 ] & Lt (cos x - 1)/x = 1-1 = 0]

x => 0                      x => 0

0 Dislike

## Other Lessons for You

What Are The Depository Institutions?
The Depository Institutions comprises of all the commercial banks (or simply banks), savings and loan associations, saving banks and credit Unions. Thus all the financial intermediaries that accept deposits...

Nature and Significance of Principles of Management-HSC | Class 12
OC/OCM, Business Studies - Nature of Principles of Management | Significance of Principles of Management

Topic: Effectiveness and Efficiency I have devised a very simple definition to describe effectiveness and efficiency. Effectiveness is DRT where DRT stands for "Doing Right Things." (Effectiveness is...

Tejinder Singh | 21/07/2017

### 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

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