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Evaluate the following indefinite integr...

Evaluate the following indefinite integrals.
(a)`int(dx)/(sqrt(x))`
(b)`int(dx)/((2x+3))`
(c)`intsin(2pix+30^(@))dx`
(d)`intsinxcosxdx`
(e)`int(3x^(3)-5x^(2)+2)dx`
(f)`int(2e^(-x//3)dx`

Text Solution

Verified by Experts

The correct Answer is:
(a)`2sqrt(x)+C`
(b)`(1)/(2)l n(2x+3)+C`
(c)`-(1)/(2pi)cos(2pix+30^(@))+C`
(d)`-(1)/(4)cos2x+C`
(e)`3(x^(4))/(4)-(5x^(3))/(5)+2x+C`
(f)`-6e^(-x//3)+C`
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