Calculus — popular questionsPage 5

Average rate of change of $f(x)=\int_{1}^{x}\sqrt{t^{3}+2}\,dt$ on $[0,3]$

Evaluate $\int_0^{\pi/2} [9\sin(3x)]\,dx$

If $\int_3^5 p(x)\,dx=3$ and $\int_8^5 p(x)\,dx=1$, then what is the value of $\int_3^8 (p(x)+1)\,dx$?

Evaluate $\int_0^4 (6x^2-16x+2)\,dx$

Evaluate $\int_0^6 h'(x)\,dx$

What is the approximation of $\int_0^6 h(x)\,dx$ when a left rectangle Riemann sum is used with 3 subintervals?

Curve with $\frac{dy}{dx}=-\frac{15}{(5x-2)^2}$ through $(4,-2)$

Arithmetic progression with terms $3\cos x$, $-6\sin x$ and $9\cos x$

Quadratic graph with vertex at $(3,-5)$ and $y$-intercept $(0,31)$

volume of the solid generated when R is revolved about the x-axis

If $n'(x)=2\sin(2x)$ and $n(0)=0$ what is the absolute maximum of $n(x)$ on $[0,2\pi]$?

If $m'(x)=3x^2$ and $m(1)=-1$ what is $m(2)$?

-2x(y-1) = dy/dx solution y=1+Ae^{-x^2}

velocity v(t)=2t^2-6t+5 integer time slowing down

cube side length increasing at 1/3 inch per second volume rate

Evaluate lim x→3 (g(2x+1)-5)/(x^2-9)

If the position of a particle is $x(t)=t^2-4t+5$, at what time is the particle at rest?

Approximate the value of $g(6)$ using the tangent line to $g(x)$ at $x=5$

Evaluate the limit $\lim_{x\to 3}\frac{g(2x+1)-5}{x^2-9}$

Chain rule for $$\frac{d}{dx}\left(\frac{-16x}{2y}\right)$$