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tiny-tim said:why couldn't you type that out?
try substituting so that sin becomes cos of something else.
cataldo said:Ok...Tanks mathman
Is exactly x=sin and integral from 0 to 1.. but i obtain [(1+x)^(1/2)]/(1-x^2)... Does it correct?
Integral calculus is a branch of mathematics that deals with the calculation of areas and volumes, as well as the determination of the rate of change of a function over a specific interval.
The main purpose of integral calculus is to find the total accumulated quantity or value of a changing quantity over a specific interval, such as finding the total distance traveled by an object given its velocity function.
There are two types of integrals in integral calculus: definite integrals and indefinite integrals. A definite integral is used to find the exact area under a curve between two points, while an indefinite integral is used to find a general function whose derivative is equal to the given function.
To solve an integral, you can use several methods such as integration by substitution, integration by parts, or using specific formulas for trigonometric, exponential, or logarithmic functions. It is important to have a good understanding of the fundamental principles of integral calculus before attempting to solve integrals.
Integrals are essential in many fields of science and engineering, including physics, chemistry, and engineering. They are used to solve real-world problems such as finding the area under a curve, calculating volumes, and determining the amount of work done by a force. Additionally, integral calculus is the basis for more advanced mathematical concepts such as differential equations.