## What is the antiderivative of arcsin?

Mathematically, the sin inverse integral is written as ∫arcsin x dx = ∫sin-1x dx = x sin-1x + √(1 – x2) + C. Integral of sin inverse x is also called the antiderivative of sin inverse x.

### How do you integrate arcsec?

1 Answer

- Method: To integrate arcsec(x) , substitution, then integrate by parts.
- You’ll also need ∫secudu , which can be done by substitution and partial fractions.
- Details: ∫arcsec(x)dx.
- Let y=arcsec(x) , so x=secy and dx=secytanydy .
- ∫ysecytanydy .
- Integrate this by parts:
- uv−∫vdu=ysecy−∫secydy.

**How do you find the derivative of arcsin 2x?**

Explanation: Use chain rule to find the derivative. The derivative of arcsin x is 1/square root of 1-x^2 and then multiply by the derivative of 2x.

**What is the formula for arcsin?**

arcsin(x) = π/2 – arccos(x)

## What are the integration rules?

Integration Rules

Common Functions | Function | Integral |
---|---|---|

Power Rule (n≠−1) | ∫xn dx | xn+1n+1 + C |

Sum Rule | ∫(f + g) dx | ∫f dx + ∫g dx |

Difference Rule | ∫(f – g) dx | ∫f dx – ∫g dx |

Integration by Parts | See Integration by Parts |

### What is arctan integral?

The integral of arctan is the integration of tan inverse x, which is also called the antiderivative of arctan, which is given by ∫tan-1x dx = x tan-1x – ½ ln |1+x2| + C, where C is the constant of integration. The integral of arctan can be calculated using the integration by parts method.

**What does arcsec mean?**

1⁄3600 of a degree of an angle.

**What is the antiderivative of arctan?**

The integral of arctan is the integration of tan inverse x, which is also called the antiderivative of arctan, which is given by ∫tan-1x dx = x tan-1x – ½ ln |1+x2| + C, where C is the constant of integration.

## What is the arcsin of 2?

As a Real valued function arcsin2 is undefined, since sin(x)∈[−1,1] for all x∈R .

### How do you find arcsin?

**How to calculate antiderivative?**

Separate the integrals:∫cos x+x dx =∫cos x dx+∫x dx

**How do I find the most general antiderivative?**

If F is an antiderivative of f,then every antiderivative of f is of the form F(x)+C for some constant C.

## How to find the most general antiderivative?

Find the general antiderivative of a given function.

### How do you find the antiderivative?

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