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If
∫ x 3 + x 2 + x 15 + 12 x + 10 x 2 d x = g ( x ) k 15 + 12 x + 10 x 2 + C \int \frac{x^3 + x^2 + x}{\sqrt{15 + 12x + 10x^2}} dx = \frac{g(x)}{k} \sqrt{15 + 12x + 10x^2} + C ∫ 15 + 12 x + 10 x 2 x 3 + x 2 + x d x = k g ( x ) 15 + 12 x + 10 x 2 + C …
Mathematics
Problem If
∫ x 3 + x 2 + x 15 + 12 x + 10 x 2 d x = g ( x ) k 15 + 12 x + 10 x 2 + C \int \frac{x^3 + x^2 + x}{\sqrt{15 + 12x + 10x^2}} dx = \frac{g(x)}{k} \sqrt{15 + 12x + 10x^2} + C ∫ 15 + 12 x + 10 x 2 x 3 + x 2 + x d x = k g ( x ) 15 + 12 x + 10 x 2 + C
where C is the constant of integration and g ( 1 ) = 1 g(1) = 1 g ( 1 ) = 1 then ( g ′ ( 1 ) + g ′ ′ ( 1 ) + k ) (g'(1) + g''(1) + k) ( g ′ ( 1 ) + g ′′ ( 1 ) + k ) is equal to :
(A) 30
(B) 32
(C) 34
(D) 36
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