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tiagobt
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Could anyone help me solve the following integral?
[tex]\int \sin(2x).\sin(x)dx[/tex]
Thanks
[tex]\int \sin(2x).\sin(x)dx[/tex]
Thanks
Last edited:
Do you mean [tex]sin(2x)=2.sinx.cosx[/tex] ? Like this:arildno said:Use the product/sum formula for trigonometric functions.
An integral is a mathematical concept used to calculate the area under a curve or the accumulation of a quantity over a given interval. It is a fundamental concept in calculus and is denoted by the symbol ∫.
Solving an integral involves finding the antiderivative of a function and then evaluating it at the given limits. This can be done using various techniques such as integration by substitution or integration by parts.
The two main types of integrals are definite and indefinite integrals. Definite integrals have specific limits of integration and give a numerical value, while indefinite integrals do not have limits and give an expression with a constant of integration.
Integration is used in many real-life applications, such as calculating the area under a curve to determine the total distance traveled by an object, finding the volume of a solid, and in many engineering and physics problems.
Some tips for solving integrals include practicing various integration techniques, understanding the properties of integrals, and being familiar with common integration formulas. It is also helpful to check your answer by differentiating it and ensuring it matches the original function.