Integrate :-
[tex]\displaystyle \int \dfrac{\sqrt{x}}{1+x}\:dx[/tex]
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Integrate :-
[tex]\displaystyle \int \dfrac{\sqrt{x}}{1+x}\:dx[/tex]
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Verified answer
We will solve the above problem of integration by using substitution method :-
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Now , we get :-
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where c = constant
Now put t = √x
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Learn more :-
∫ 1 dx = x + C
∫ sin x dx = – cos x + C
∫ cos x dx = sin x + C
∫ sec2 dx = tan x + C
∫ csc2 dx = -cot x + C
∫ sec x (tan x) dx = sec x + C
∫ csc x ( cot x) dx = – csc x + C
∫ (1/x) dx = ln |x| + C
∫ ex dx = ex+ C
∫ ax dx = (ax/ln a) + C
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GIVEN :-
TO FIND :-
SOLUTION :-