If $f(x)=x^3+3x+2$ and $g(x)$ is the inverse of it, find the area bounded by $g(x)$ and $x$-axis and ordinates $x=-2$ and $x=6$.
133355
Let $y=g(x)$ be the inverse of a bijective mapping $f:R\to R f(x)=3x^3+2x.$Then area bounded by the graph of $g(x),x-$ axis and the ordinate at $x=5$
37985
Show that $|x|^2 = |y|^2$ with $A$ orthogonal and $Ax = \cos (θ)x − \sin (θ)y$, $Ay = \sin (θ)x + \cos (θ) y$
67234
The function $G: x \mapsto 2^{x^2}$ maps $\mathbb{R}$ onto $\{ x \in \mathbb{R} : x \geq 1 \}$
41550
Find the Area of the ellipse
157477
Area of a quadrilateral proof
104701
Find the functions for which the area of the triangle made by tangent at a point is independent of the point
60559
How prove this $x^3<\sin^2{x}\tan{x},x\in\left(0,\dfrac{\pi}{2}\right)$
90246
Area of an ellipse. (Calculus)
144773
function $f(x)=x^{-(1/3)}$ , please check whether my solution is correct?
145875
Inverse of a bijection f is equal to its derivative
154001
$(g\circ f)^{-1}=f^{-1}\circ g^{-1}$
53224
$e^{-x}f(x)=2+ \int_0^x\sqrt{t^4+1}dt$ function for finding the inverse
78464
Finding out the area of a triangle if the coordinates of the three vertices are given
103416
Proving area under curve
78698
Prove if $f$ has a right inverse function: $f\circ g=id_x$ $\iff$ $f$ is onto $Y$
2870
what is the area of the region [ (x,y):0<x , y<1 , 3/4<x+y<3/2 ]?
144859
Finding parameters for $f(x) = x^2 + 2(m − a)x + 3am −2 = 0$ that satisfy a condition.