• JEE Main & Advanced
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• 12th
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• Mathematics
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Q.

Pls solve it
If \(f(x)=ax^3+bx^2+cx+d,\)where a,b,c,d are real numbers and \(3b^2<c^2,\) is an increasing cubic function and g(x) \(=af'(x)+bf''(x) +c^2,then\)
(a) \(\int^x_a \) g(t) dt is a decreasing function
(b)  \(\int^x_a \)g(t) dt is an increasing function
(c) \(\int^x_a \) g(t) dt is a neither increasing nor a decreasing function
(d) None of the above