integrate dx / xroot ofx^2-X +3
Answers
Answer:
∫(x+2)√(x-3)dx
∫(x+2)√(x-3)dxIntegration by parts
∫(x+2)√(x-3)dxIntegration by partsTake (x+2) as a first function & (x-3)^1/2 as a second function
∫(x+2)√(x-3)dxIntegration by partsTake (x+2) as a first function & (x-3)^1/2 as a second function(x+2).1÷2((x-3)^3/2)÷3/2) −∫1. 1÷2 ((x−3)3/2)÷3/2)dx
∫(x+2)√(x-3)dxIntegration by partsTake (x+2) as a first function & (x-3)^1/2 as a second function(x+2).1÷2((x-3)^3/2)÷3/2) −∫1. 1÷2 ((x−3)3/2)÷3/2)dx (1÷2)*2÷3(x+2).(x-3)^3/2 −(2÷3 ) ∗(1÷2)∫(x−3)3/2dx
∫(x+2)√(x-3)dxIntegration by partsTake (x+2) as a first function & (x-3)^1/2 as a second function(x+2).1÷2((x-3)^3/2)÷3/2) −∫1. 1÷2 ((x−3)3/2)÷3/2)dx (1÷2)*2÷3(x+2).(x-3)^3/2 −(2÷3 ) ∗(1÷2)∫(x−3)3/2dx 2 cancel with 2 ..
∫(x+2)√(x-3)dxIntegration by partsTake (x+2) as a first function & (x-3)^1/2 as a second function(x+2).1÷2((x-3)^3/2)÷3/2) −∫1. 1÷2 ((x−3)3/2)÷3/2)dx (1÷2)*2÷3(x+2).(x-3)^3/2 −(2÷3 ) ∗(1÷2)∫(x−3)3/2dx 2 cancel with 2 ..1÷3(x+2).(x-3)^3/2 −1÷3.((x−3)5/2)÷52+c
∫(x+2)√(x-3)dxIntegration by partsTake (x+2) as a first function & (x-3)^1/2 as a second function(x+2).1÷2((x-3)^3/2)÷3/2) −∫1. 1÷2 ((x−3)3/2)÷3/2)dx (1÷2)*2÷3(x+2).(x-3)^3/2 −(2÷3 ) ∗(1÷2)∫(x−3)3/2dx 2 cancel with 2 ..1÷3(x+2).(x-3)^3/2 −1÷3.((x−3)5/2)÷52+c Where c is integration constant
∫(x+2)√(x-3)dxIntegration by partsTake (x+2) as a first function & (x-3)^1/2 as a second function(x+2).1÷2((x-3)^3/2)÷3/2) −∫1. 1÷2 ((x−3)3/2)÷3/2)dx (1÷2)*2÷3(x+2).(x-3)^3/2 −(2÷3 ) ∗(1÷2)∫(x−3)3/2dx 2 cancel with 2 ..1÷3(x+2).(x-3)^3/2 −1÷3.((x−3)5/2)÷52+c Where c is integration constantAnswer
∫(x+2)√(x-3)dxIntegration by partsTake (x+2) as a first function & (x-3)^1/2 as a second function(x+2).1÷2((x-3)^3/2)÷3/2) −∫1. 1÷2 ((x−3)3/2)÷3/2)dx (1÷2)*2÷3(x+2).(x-3)^3/2 −(2÷3 ) ∗(1÷2)∫(x−3)3/2dx 2 cancel with 2 ..1÷3(x+2).(x-3)^3/2 −1÷3.((x−3)5/2)÷52+c Where c is integration constantAnswer1÷3(x+2).(x-3)^3/2 −2÷15.(x−3)5/2+c