Using Definite Integral Calculator to Calculate Line Integral of Arc Length

To address the limitation of existing definite integral calculators in computing the integral of arc length curves, a novel methodology is introduced herein. This approach entails the conversion of the integral input format for arc length curves into the established format for definite integrals. Initially, a delineation of four distinct input formats for definite integrals and thirteen formats for arc length curve integrals is presented. Subsequently, a systematic method is devised to translate the integral input format specific to arc length curves into the standardized definite integral format. Lastly, a computational technique leveraging a definite integral calculator is outlined for the computation of arc length curve integrals. Empirical findings substantiate the efficacy of the enhanced definite integral calculator in accurately computing arc length curve integrals.