Integral Calculus is a vital branch of calculus that focuses on the study of integrals and their inherent properties. Essentially, it is a function F(a), considered as an antiderivative of another function f(a), provided that for all elements in the f's domain, F’(a) equals f(a).
Integral Calculus Formula - Understanding with Examples | Testbook.com
Last Updated on Jul 31, 2023
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Key Formulas of Integral Calculus
This webpage provides you with the fundamental calculus formula along with a few illustrative examples for better understanding.
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Examples of Integral Calculus:
Example 1 : Compute the integral calculus of cos(a) da?
Solution: The function
cos(a) da results in the integral sin(a) + c , thus it is expressed as
cos(a) da = sin(a) + c
Example 2 : Determine the value of
sin a + a d(a)
Apply the sum rule :
sin a + a d(a) =
sin a da +
a d(a)
Evaluating the integral of each,
= -cos a +
+ c
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Frequently Asked Questions
What is Integral Calculus?
Integral Calculus is the branch of calculus where we study about integrals and their properties. It is a function F(a), which is an antiderivative of a function f(a) if for all in the domain of f, F’(a) = f(a).
What is the formula for Integral Calculus?
The formula for Integral Calculus is ∫ f(a)da = F(a) + C, where C is a constant.
How to find the integral calculus of sin(a) da?
The integral calculus of sin(a) da is -cos(a) + c.
How to find the integral of cos a + a d(a)?
Use sum rule, ∫cos a + a d(a) = ∫cos a da + ∫a d(a). The integral of each will be = sin a + a²/2 + c.
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