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X) dx F(b) F(a) a I NTEGRATION BY PARTS u dv uv v du T RIGONOMETRIC S UBSTITUTION (a 0) a2 x2 requires x a sin . Then a2 x2 a cos , where /2 /2. a2 + x2 requires x a tan . Then a2 + x2 a sec , where /2 /2. x2 a2 requires x a sec . Then x2 a2 a tan . If x a, use x2 a2 +a tan , where 0 /2. If x a, use x2 a2 a tan , where /2 .

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Integral Formulas – Integration can be considered the reverse process of differentiation or called Inverse Differentiation. Integration is the process of finding a function with its derivative. Basic integration formulas on different functions are mentioned here.

Integrals are utilised in a variety of sectors in real life, including engineering, where engineers use integrals to determine the geometry of a building. It's used to describe the centre of gravity, among other things, in physics. In the field of graphical representation, three-dimensional models are displayed.

“The integral of the product of two functions = (first function) × (integral of the second function) – Integral of [(differential coefficient of the first function) × (integral of the second function)]”.

Formula for Integration: \int {1\over x} \;dx= \ln x+C.

Basically, integration is a way of uniting the part to find a whole. It is the inverse operation of differentiation. Thus the basic integration formula is ∫ f'(x) dx = f(x) + C. Using this, the following integration formulas are derived.

Importance of Integration in maths Integrate function differences to determine the area between two function-defined curves. The definite integrals, for instance, are used to calculate the length of the curve. The longitude of the arc is initially estimated using line segments, which create a sum of Riemann.

List of Integral Formulas ∫ 1 dx = x + C. ∫ a dx = ax+ C. ∫ xn dx = ((xn+1)/(n+1))+C ; n≠1. ∫ sin x dx = – cos x + C. ∫ cos x dx = sin x + C. ∫ sec2x dx = tan x + C. ∫ csc2x dx = -cot x + C. ∫ sec x (tan x) dx = sec x + C.

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airSlate Legal Forms, Inc.
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Form Packages
Adoption
Bankruptcy
Contractors
Divorce
Home Sales
Employment
Identity Theft
Incorporation
Landlord Tenant
Living Trust
Name Change
Personal Planning
Small Business
Wills & Estates
Packages A-Z
Form Categories
Affidavits
Bankruptcy
Bill of Sale
Corporate - LLC
Divorce
Employment
Identity Theft
Internet Technology
Landlord Tenant
Living Wills
Name Change
Power of Attorney
Real Estate
Small Estates
Wills
All Forms
Forms A-Z
Form Library
Customer Service
Terms of Service
DMCA Policy
About Us
Blog
Affiliates
Contact Us
Privacy Notice
Delete My Account
Site Map
All Forms
Search all Forms
Industries
Forms in Spanish
Localized Forms
Legal Guides
Real Estate Handbook
All Guides
Prepared for You
Notarize
Incorporation services
Our Customers
For Consumers
For Small Business
For Attorneys
Our Sites
US Legal Forms
USLegal
FormsPass
pdfFiller
signNow
airSlate workflows
DocHub
Instapage
Social Media
Call us now toll free:
1-877-389-0141
As seen in:
  • USA Today logo picture
  • CBC News logo picture
  • LA Times logo picture
  • The Washington Post logo picture
  • AP logo picture
  • Forbes logo picture
© Copyright 1997-2025
airSlate Legal Forms, Inc.
3720 Flowood Dr, Flowood, Mississippi 39232