## Answer in 60

### Definite integral

### Indefinite integral

**Key moments in video**

From 00:39 — Applying polar coordinates

From 04:39 — Change variables to polar coordinates

From 06:01 — Explaining why I integrate in theta first

**Key moments in video**

From 00:59 — Write a Double Sum in Place of the Product

From 03:26 — Polar Coordinates

From 05:33 — The Change in Polar Coordinates

## Related querie

### What is infinity minus infinity?

**It is impossible for infinity subtracted from infinity to be equal to one and zero**. Using this type of math, it would be easier to get infinity minus infinity to equal any real number. Therefore, infinity subtracted from infinity is undefined.

### Can you integrate ex 2?

**Indefinite integral of e^x^2 cannot be found**. And here is the reason. Any function continuous on an interval (a,b) has an anti-derivative in that interval. In other words, there exists a function F(x) such that F'(x) =f(x).

### What is the integral of e raised to negative X?

The integral of e^(-x^{2}) involves the error function. i.e., **âˆ« e ^{–}Ë£Â² dx = âˆšÏ€/2 erf (x) + C**. The integral of a

^{x}is NOT itself, instead, âˆ« a

^{x}dx = a

^{x}/ ln a + C. âˆ« a

^{kx}dx = a

^{kx}/ (k ln a) + C by using integration by substitution.

### What is the integration of e to the power x to the power 2?

What is the Integral of e to the 2x? The integral of e to the 2x is **e ^{2x}/2 + C**. This is mathematically written as âˆ« e

^{2x}dx = e

^{2x}/2 + C.

### What is the value of DX?

"dx has **no numerical value**. Rather, it captures this idea that occurs a lot in calculus of taking the limit of smaller and smaller interval sizes to figure out something precisely about a continuous function.

### What is E to the infinity?

Answer: Zero

As we know a constant number is multiplied by infinity time is infinity. It implies that e increases at a very high rate when e is raised to the infinity of power and thus leads towards a very large number, so we conclude that **e raised to the infinity of power is infinity**.

### Is infinity minus infinity divergent?

**No, infinity minus infinity is an indeterminate**.

### Does minus infinity exist?

**There is no such concept as negative infinity**. Infinity can be related to anything that has constant recurrence, be it positive or negative.

### What is integral of e Squared?

Since e2 is constant with respect to x , move e2 out of the integral. The answer is the antiderivative of the function **f(x)=e2** f ( x ) = e 2 .

### Why is there no antiderivative of e x 2?

Explanation: The function ex2 has an antiderivative, but there is no nice way to express it using elementary function. Saying that **the antiderivative of ex2 is 2âˆšÏ€ times the imaginary error function at x doesn't help the intro student much**, but that's what it is.