Popular questionsPage 4

$$\frac{d}{dt}\int_a^b f(x,t)\,dx=\int_a^b \partial_t f(x,t)\,dx$$

The figure above shows the region A, which is bounded by the x- and y-axes, the graph of $f(x)=\frac{\sin x}{x}$

If $F(x)=\int_0^x f(t)\,dt$, and $F(a)=-2$ and $F(b)=-2$

Let $f(x)=\int_{-2}^{x^2-3x} e^{t^2}\,dt$

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?

Probability that at least 175 homes are investment property

Resultant velocity of a quadcopter drone

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 $(0,31)$

Circle Angle Theorems: Formulas by Vertex Location

Solved Triangle Transformations Worksheet

Triangle Angles 2x, 7x, x, 3x: Find x=10°

Intersection of y = x² - 3x and y = 2x - 0.5x² at x=0, 3 1/3

2. Seating 8 people in a row at a football game: 5 adults, 3 children