Let f: R (0, ) be strictly increasing function such that _ x f(7 x) f(x) =1. Then, the value of _ x [f(5 x) f(x) -1 ] is equal to

Let f: R (0, ) be strictly increasing function such that _ x f(7 …

The area under the curve $y = x^4$ and the lines $x = 1, x = 5$ and $x-$axis is:

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The value of $12 \int \limits_0^3\left|x^2-3 x+2\right| d x$ is $.............$

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The value of $\int_0^3 \frac{d x}{\sqrt{9-x^2}}$ is:

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If $a \times b = b \times c \ne 0$ and $a + c \ne 0,$ then

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Let $f:N \to N$ defined by $f(x) = {x^2} + x + 1$, $x \in N$, then $ f $ is

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If $f(x) = \frac{{{{\cos }^2}x + {{\sin }^4}x}}{{{{\sin }^2}x + {{\cos }^4}x}}$ for $x \in R$, then $f(2002) = $

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The area (in sq. units) of the region described by $A = \{ (x,y)|y \ge {x^2} - 5x + 4,\,x + y \ge 1,\,y \le 0\} $ is

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$a\,.\,[(b+c)\times (a+b+c)]$ is equal to

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Choose the correct answer from the given four options.
$\text{P}\Big(\frac{\text{B}}{\text{A}}\Big)$ is equal to:

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The region represented by the inequalities $\text{x}\geq6,\text{y}\geq2,2\text{x}+\text{y}\leq0,\text{x}\geq0,\text{y}\geq{0}$ is:

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