Question

integration of ( y^2 -2 ) dy​

Answer 1

QUESTION :

Integrate the following :-

$\int_{}( {y}^{2} - 2)dy$

SOLUTION :

$\int_{}( {y}^{2} - 2)dy$

$\int_{}{y}^{2} \: dy- \int_{}2 \: dy$

$\dfrac{ {y}^{(2 + 1)} }{2 + 1} - 2y + c$

Where c is constant.

$\dfrac{ {y}^{3} }{3} - 2y + c$

ANSWER :

$\dfrac{ {y}^{3} }{3} - 2y + c$

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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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