What Is The Integral Of Sinx Formula, The Definite Integral Of Sinx From 0 To Pi

Introduction

$x$ is a variable, which represents an angle of a right triangle, and the trigonometric sine function in terms of $x$ is written as $sin{x}$ in mathematical form. The indefinite integral of $sin{x}$ function with respect to $x$ is written in the following mathematical form in calculus.

Đang xem: Integral of sinx

$displaystyle int{sin{x} ,}dx$

The integration of $sin{x}$ function with respect to $x$ is equal to sum of the negative $cos{x}$ and constant of integration.

$displaystyle int{sin{x} ,}dx ,=, -cos{x}+c$

Alternative forms

The integration of sin function formula can be written in terms of any variable.

$(1) ,,,$ $displaystyle int{sin{(b)} ,}db ,=, -cos{(b)}+c$

$(2) ,,,$ $displaystyle int{sin{(h)} ,}dh ,=, -cos{(h)}+c$

$(3) ,,,$ $displaystyle int{sin{(y)} ,}dy ,=, -cos{(y)}+c$

Proof

Learn how to derive the integration of sine function rule in integral calculus.

Xem thêm: Conjectures In Geometry Inscribed Angles In Circles ( Read )

Learn more
Latest Math Topics
Aug 20, 2021
Introduction to the composite limit rule with proof
Aug 12, 2021
How to prove the composite limit rule in calculus
Aug 05, 2021
Introduction to the Zeroes or Roots of a Polynomial with example
Jun 19, 2021
Strict inequality with understandable examples
Jul 12, 2021
Partial fraction decomposition for the Repeated Linear factors
Latest Math Problems
Aug 19, 2021
Evaluate $displaystyle large lim_{x, o,0}{
ormalsize dfrac{1-cos{x}}{x^2}}$ by fundamental method
Jul 19, 2021
Solve $dfrac{log{(sqrt{x+1}+1)}}{log{sqrt{x-40}}} ,=, 3$
Jun 17, 2021
Evaluate $displaystyle int{dfrac{1}{sin{x}+cos{x}}},dx$
Jul 13, 2021
Decompose the Rational function $dfrac{x^2+13x+15}{(2x+3)(x+3)^2}$ into the Partial fractions
Jun 24, 2021
Solve $xdx$ $+$ $sin^2{Big(dfrac{y}{x}Big)}(ydx-xdy)$ $,=,$ $0$

See also  Numerical Evaluation Of Integral Z^N(1-Z)^M, Complex Analysis
*

A best free mathematics education website for students, teachers and researchers.

Maths Topics

Learn each topic of the mathematics easily with understandable proofs and visual animation graphics.

Maths Problems

Learn how to solve the maths problems in different methods with understandable steps.

Xem thêm: Chocolate Lab Dog Breed Information, Pictures, Characteristics & Facts

Learn solutions

Subscribe us

You can get the latest updates from us by following to our official page of Math Doubts in one of your favourite social media sites.

See more articles in category: Integral

Leave a Reply

Back to top button