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MaxineTo find the integral, you can split the integral of 3sinx-5cosx into two separate integrals.
For the integral of 3sinx dx
integral of sinx= -cosx
you can pull the three out of the integral as a coefficient
Therefore, integral of 3sinx dx= -3 cosx +C
For the integral of -5cosx dx
integral of cosx=sinx
you can pull the -5 out of the integral as a coefficient
Therefore the integral of -5cosxdx= -5sinx +C
Therefore the integral of 3sinx-5cosx =-3cosx-5sinx + C
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What is the ans of integration of x with respect to t?
The indefinite integral of x dt is xt
What is the relationship of integral and differential calculus?
We say function F is an anti derivative, or indefinite integral of f if F' = f. Also, if f has an anti-derivative and is integrable on interval [a, b], then the definite integral of f from a to b is equal to F(b) - F(a) Thirdly, Let F(x) be the definite integral of integrable function f from a to x for all x in [a, b] of f, then F is an anti-derivative of f on [a,b] The definition of indefinite integral as anti-derivative, and the relation of definite integral with anti-derivative, we can conclude that integration and differentiation can be considered as two opposite operations.
What is the convulusion integral?
Do you mean the Convolution Integral?
How is integral calculus used in daily life?
The different aspects of calculus are used in the real world every day. In business, specialists look at the derivatives of trends that can help them predict the future of stocks and markets. Architects commissioned for a job are given a budget and they use optimization to calculate the best amount of material they can get with that budget and space in a building they are designing. The Integral is used to show area under a curve. The indefinite integral is the antiderivative of a function. For these types of professions the integral is their Bible, metaphorically speaking. The watch the trends, convert the data into a quantitative function and then use the integral to predict the future of a company or simply use it with differentiation for an optimization problem. Their are many other uses as well that we use, sometimes subconsciously, in everyday life; these are just a couple of examples.
Integral of -x 2?
The integral of -x2 is -1/3 x3 .
