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What is the Integral of Sin Inverse? The integral of sin inverse is given by x sin -1 x + √ (1 - x 2) + C, where C is the constant of integration. Mathematically, the sin inverse integral is written as ∫arcsin x dx = ∫sin -1 x dx = x sin -1 x + √ (1 - x 2) + C. Integral of sin inverse x is also called the antiderivative of sin inverse x.
- Inverse Trig Integrals | Integrals of Inverse Trig Functions - Cuemath
The inverse trig integrals are the integrals of the 6...
- Inverse Trig Integrals | Integrals of Inverse Trig Functions - Cuemath
17 sie 2024 · Integrals that Result in Inverse Trigonometric Functions. Let us begin this last section of the chapter with the three formulas. Along with these formulas, we use substitution to evaluate the integrals. We prove the formula for the inverse sine integral.
In this tutorial we shall explain the integration of the sine inverse function $${\sin ^{ – 1}}x$$. It is an important integral function, but it has no direct method to find it. So we shall find the integration of sine inverse by using the integration by parts method.
The inverse trig integrals are the integrals of the 6 inverse trig functions sin-1 x (arcsin), cos-1 x (arccos), tan-1 x (arctan), csc-1 x (arccsc), sec-1 x (arcsec), and cot-1 x (arccot). The integration by parts technique (and the substitution method along the way) is used for the integration of inverse trigonometric functions.
The Integral Calculator lets you calculate integrals and antiderivatives of functions online — for free! Our calculator allows you to check your solutions to calculus exercises. It helps you practice by showing you the full working (step by step integration).
Integrals that Result in Inverse Sine Functions. Let us begin with the three formulas. Along with these formulas, we use substitution to evaluate the integrals. We prove the formula for the inverse sine integral.
The integration of sin inverse x or arcsin x is \(xsin^{-1}x\) + \(\sqrt{1 – x^2}\) + C Where C is the integration constant. i.e. \(\int\) \(sin^{-1}x\) = \(xsin^{-1}x\) + \(\sqrt{1 – x^2}\) + C
