Nettet12. jul. 2024 · What is the integral of ∫( 1 x2 + x + 1)dx? Calculus Introduction to Integration Definite and indefinite integrals 2 Answers Rhys Jul 12, 2024 2√3 3 arctan( 2x +1 √3) +c Explanation: x2 +x +1 = (x + 1 2)2 + 3 4 ⇒ ∫ 1 (x + 1 2)2 + 3 4 dx let 3 4 u2 = (x + 1 2)2 ⇒ √3 2 u = x + 1 2 ⇒ √3 2 du = dx ⇒ √3 2 ∫ 1 3 4u2 + 3 4 du ⇒ 2√3 3 ∫ 1 u2 +1 du NettetThe graph of 2^-1 (which is 1/2 or 0.5) just like all constants is a straight horizontal line (It doesn't change with x). The antiderivative of a straight horizontal line is a line with a slope. i.e. integral (k dx)= k * x+C Just to prove it works here: remember d/dx (0.5x+c) = 0.5 = 2^-1 Hope this makes sense ( 90 votes) Upvote Flag Show more...
integral of 1/(x^2+a^2) - symbolab.com
NettetWolfram Alpha is a great tool for calculating antiderivatives and definite integrals, double and triple integrals, and improper integrals. The Wolfram Alpha Integral Calculator … NettetSolution for Evaluate the double integral 1, "cx f(x, y) dA over the polar rectangular region D. 2r D = {(1, 0) ... using rectangular coordinates. for a solid bounded below xy-plane and above the plane 4=x+z+2y and is between x^2+6y^2=1 and x^2+6y^2=8. then write the region in cylidrical and spherical coordinates. arrow_forward. nasb thompson chain bible
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Nettetintegral of 1/x. Natural Language; Math Input; Extended Keyboard Examples Upload Random. Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science ... Nettet10. feb. 2015 · … integral of 1/ (1+x^2) is arctan (x). But since i'd like to know arctan (x), could someone please help me to find the intergral in terms of x (non-trigonometric). hi vish_al210! (try using the X2 icon just above the Reply box ) you could try expanding 1/ (1+x 2) as 1 - x 2 - … , and then integrating Nov 8, 2011 #14 kanika2217 3 0 Nettetintegral of 1/(1-x^2) Natural Language; Math Input; Extended Keyboard Examples Upload Random. Compute answers using Wolfram's breakthrough technology & … mel tillis three little rabbits