NettetFree Pre-Algebra, Algebra, Trigonometry, Calculus, Geometry, Statistics and Chemistry calculators step-by-step Nettet7. sep. 2024 · To compute a scalar line integral, we start by converting the variable of integration from arc length s to t. Then, we can use Equation 16.2.1 to compute the integral with respect to t. Note that f( ⇀ r(t)) = cos2t + sin2t + t = 1 + t and √(x′ (t))2 + (y′ (t))2 + (z′ (t))2 = √( − sin(t))2 + cos2(t) + 1 = √2. Therefore,

Find the integral of y = f(x) = 2xy dx (2xy) - with detailed solution ...

Nettet2. mai 2024 · 2 Answers Sorted by: 2 This is an interesting differential equation because it yields some really nice graphs when some initial y ( 0), y ′ ( 0), y ″ ( 0) are sampled. As for the solution, first solve the homogenous problem: y ‴ + y = 0 ⇒ y = e λ λ 3 e λ + e λ = 0 ⇒ λ = { − 1, 1 2 + i 3 2, 1 2 − i 3 2. Thus, the general solution is: NettetWhen you collect the same variable and d(variable) on one side, you can integrate them as normal, so by splitting it into all y's on one side and all x's on the other, you pretty much … northeastern megalopolis

integral of e^x^2 - Symbolab

Nettet26. okt. 2015 · y 2 d x + 2 x y d y = d ( x y 2). Then the integral does not depend on the path. The initial point is x 0 = 0 8 = 0, y 0 = sin 7 0 = 0 and the end point is x 1 = 1 8 = 1, y 1 = sin 7 π 2 = 1. The integral is equal to 1 × 1 2 − 0 × 0 2 = 1 Share Cite Follow answered Oct 26, 2015 at 5:02 kmitov 4,381 2 12 18 NettetCalculus. Evaluate the Integral integral of e^ (xy) with respect to x. ∫ exydx ∫ e x y d x. Let u = xy u = x y. Then du = ydx d u = y d x, so 1 ydu = dx 1 y d u = d x. Rewrite using u u and d d u u. Tap for more steps... ∫ eu 1 ydu ∫ e u 1 y d u. Combine eu e u and 1 y 1 y. NettetCalculus Example: What is the integral of-2xy^2 ? Conversions Go Popular Examples \int\:-x\ln (2x^ {2}+1)dx \int\:x^ {5} (x^ {3}+1)^ {\frac {1} {2}}dx \int\: (2x+2)^ {2}dx \int\:x^ … northeastern medical supply