Integration Mathematics & Economics Math Problem Paper (Math Problem Sample)
writing an assigment on integrationsource..
We are required to determine the indefinite integral
The constant 3 can be taken out of integral as shown in equation (1). Applying u- substitution as shown by (Carl,2003) we let u=2x-1 and so
dudx=2 which implies that dx=du2.
The indefinite integral (1) now becomes
Applying u-substituion again, we let v=secu and so
dudv=secutanudu, which implies that du=dvsecutanu.
By appropriate substitution, the indefinite integral (2) becomes
Here C is an arbitrary constant of integration. Noting that v=secu and u=2x-1, so that we w
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