# Is sin x x integrable?

## Is sin x x integrable?

It’s a non – integrate integral. Oops, you can integrate this function by certain limits. Thanks. Originally Answered: How do you integrate sinx/x?

## Why integration of Sinx is COSX?

Integration is nothing but the reverse process of differentiation, so an integral of a function is the same as its anti-derivative. Hence, the integration of sin x cos x is the same as the anti-derivative of sin x cos x.

Is sin2x and sin 2x the same?

Nope, those are the same. As long as you have the parentheses around the sin2x, the whole thing is squared. In a calculator, that is how you would put it if you wanted to take the sine of the angle 2x, then square the result.

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### What is Sin²x Cos²x?

sin²x + cos²x = 1 (From this identity we also get sin²x =1 – cos²x and cos²x = 1-sin²x)

### How do you solve the limit of an integral function?

There’s no way we can solve this using the methods we know; we cannot use integration by parts, partial fractions, substitution, trigonometric substitution, etc to solve this. We can, however, approximate the integral through a power series. Lets say we calculate x -> 0 limit for the function.

Does sin2x integrate cos2x/2?

But converting a squared trig function to one that isn’t squared, such as in the video, well, sin²x gets you 1/2 – cos (2x)/2, and that you can integrate directly. Comment on Stefen’s post “It does, however converti…”

#### Does x -> inf have a solution?

Lets say we calculate x -> 0 limit for the function. It turns out to be 1. and for x -> inf , its zero. If you draw a graph for it you will see a sine wave with decreasing amplitude so yes it has a solution. For how to solve check this wikipedia link How this 19-year-old earns an extra \$3600 per week.

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#### Can you integrate trigonometric functions that are not squared?

It does, however converting from one trig function that is squared to another that is squared doesn’t get you any further in solving the problem. But converting a squared trig function to one that isn’t squared, such as in the video, well, sin²x gets you 1/2 – cos (2x)/2, and that you can integrate directly.