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Integrate the following w.r.t.x : (a) ...

Integrate the following w.r.t.x :
(a) ` x^(3)+2x +1 " " ` (b) `(1)/(2x+3)`
(c) `cos^(2)x`

Text Solution

Verified by Experts

(a)`int(x^(3)+2x+1)dx`
`=(x^(4))/(4)+x^(2)+x+C`
(b) `int(1)/(2x+3)dx=(ln|2x+3|)/(2)+C`
(c) ` intcos^(2) x dx`
` = int((1+cos 2x)/(2))dx`
`int(1)/(2)dx+(1)/(2) int cos 2x dx`
`=(x)/(2)+(sin2x)/(4)+C`
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