207 Answered Questions for the topic integral


How do I solve this Area Integration question?

1. (a) Consider the box whose vertices are (1; 1); (1; 0); (1; 0), and (1; 1). Let Lmbe the line with slope m that passes through the point (2; 0). Find the value of meRwhich divides the box into... more


How do I solve this Fundamental Theorem of Calculus problem?

Consider the function f(x)=((x2−1)/xand define the function F(x)=∫from1tox f(t)dtwith domain (0,∞)a) What are critical points of F?b) Find the intervals of increasing and decreasing for F.c) Find... more
Integral Math Calculus


revolving curves

Find the volume of the solid obtained by rotating the region bounded by the given curves about the line  y=-6. Given curves: x=y^2, y=x^2


Integral of (3x^2+1)/(3x^3+x^2+x+1) using partial fractions

Please answer with step by step solution. Need ASAP. Thanks!


What are maximum and minimum values of the function (definite integral)

What are maximum and minimum values of the function f(a,b)= ∫_a^b e^(-(x-3)^2 ) dx ?

Given two equation, find intersect point, enclosed area and need to sketch graph!

Determine each of the following.i. Sketch 𝑦1 and 𝑦2 in the same graph.ii. Shaded the area of the region bounded.iii. Find the intersection points.iv. Find the enclosed area.

Identify the critical points of the function. & Determine the intervals on which the function increases and decreases.

answer each of the following questions.i. Identify the critical points of the function.ii. Determine the intervals on which the function increases and decreases.


Thermodynamics and Integral? I think I was approaching it wrong, and I don't know where to begin.

I started using the idea that delta U = W because it is adiabatic for the first expansion. I was told by a peer to use w = integral of PdV equation, but someone else also suggested that W=nCdeltaT... more


Integral Question

Suppose that ∫3-1f(x)dx = 4 and ∫35f(x)dx = 1. Find ∫-15 (2f(x) - 3)dxa. -10b. 0c. 3d. 6e. 10f. 12
Integral Calculus Integrals


What is ʃ e^(1/2)x (dx)?


Which of the following options satisfies y(1)?

Let A(x) and B(x) be functions defined by A(x) = integral (exp(t^2-2t) dt) [upper bound:x lower bound: 0]B(x) = integral (exp(t^2+2t) dt) [upper bound: x lower bound: 0]where t is a dummy variable.... more
Integral Calculus


Calculus integration with a graph

The exact question is:Suppose that one of the industrial plants increases its water consumption between 9:00 A.M. and 10:00 A.M. and that the rate at which the reservoir supplies water increases... more


Use substitution to find ʃ x(x^2 – 4)^2 dx


Find an integral of function

Find an integral of the function:f(x)= (ln abs(x+7))abs=absolute value
Integral Math Calculus Physics


Integral of Flow Rate

Please Help me to find anti-derivative of system. water that fills the tank, with the flow rate is known, and flow rate outthere is a flowing water with flow rate Qin = 1.5x10^-3 m^3/s that fills... more


what is the difference in elevation

Ojos del Salado is the highest mountain in Chile, with a peak at about 6900 meters above sea level. The Atacama Trench, just off the coast of Peru and Chile, is about 8100 meters below sea level... more


Evaluate the following integral using the following values. Integral xdx [4,4]

 6 4 x3 dx = 260  6 4 x dx = 10  6 4 dx = 2Integral: 4 4 x dx


positive whole numbers

Given a list of positive whole numbers whose sum is 100 how large can their product be
Integral Algebra 1


Prime factors of numbers

Without using a calculator find four prime factors of 3^32-2^32 which are less than 100

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