Definite Integration

Welcome to the "Definite Integration" category on Questions LLC! Whether you're a student studying calculus or a curious learner eager to explore the world of mathematics, this category is the ideal place to deepen your understanding of definite integration. Definite integration is a powerful tool in calculus that allows us to find the area under a curve between specific limits. Within this category, you'll find a diverse range of questions, from basic concepts to advanced techniques, all designed to enhance your knowledge and problem-solving skills in the realm of definite integration. So, dive in, ask, answer, and unravel the intricacies of this fascinating branch of mathematics!

Questions (42)

Evaluate exactly the value of the integral from negative 1 to 0 of the product of the cube of quantity 2 times x to the 5th
1. 5 answers
2. asked by J
3. 3,651 views
Find the definite integration of sin(4x+π/6) dx which has π/6 and 0 as limits
1. 2 answers
2. asked by James
3. 57 views
Find the area under y=4sin(x) and above y=4cos(x) for π2≤x≤3π2.
1. 3 answers
2. asked by Destiny Padgett
3. 75 views
Note: You can get full credit for this problem by just answering the last question correctly. The initial questions are meant as
1. 2 answers
2. asked by kitor
3. 960 views
Let M be the region under the graph of f(x) = 3/e^x from x=0 to x=5.A. Find the area of M. B. Find the value of c so that the
1. 4 answers
2. asked by Anonymous
3. 2,213 views
Set up a definite integral that yields this regionf(x)=4-2x Base is 2, and height is 4
1. 4 answers
2. asked by Anonymous
3. 870 views
Sketch the region given by the definite integral. Use geometric shapes and formulas to evaluate the integral (a > 0, r > 0).r
1. 4 answers
2. asked by Ray
3. 1,183 views
Evaluate the following definite Integral∫x * ln(x) dx from 1 to e^(2) I used the DI method which gave me D I + ln(x) x - 1/x
1. 4 answers
2. asked by Howdy
3. 1,071 views
determine the average value of f(x) over the interval from x=a to x=b, where f(x)=100e^-.5x; a=0, b=4
1. 3 answers
2. asked by chola
3. 903 views
Evaluate the definite integral∫(0,2) (x-1)^25 dx.. thats how i got stuck u=x-1, then du=dx =∫(0,2) u^25du =(1/26)u^26. i
1. 4 answers
2. asked by LILY
3. 565 views
how to find the integral of (3x+pi)cos3xdx from [pi over 6, pi over 3}
1. 3 answers
2. asked by bern
3. 400 views
How to solve the definite integral of(3x+pi)cos3xdx from [pi over6,pi over 3]
1. 1 answer
2. asked by bern
3. 343 views
I am trying to prepare for my finals and I'm approached with this question where I'm not entirely clear what the answer should
1. 1 answer
2. asked by Ray
3. 449 views
f(x)=(x+1)/(1+x^2)a) explain why the graph lies above the x axis on the interval x=0 and x=sqrt(3) b)write an expression using
1. 2 answers
2. asked by Matthew
3. 862 views
Suppose the integral from 2 to 8 of g of x, dx equals 13, and the integral from 6 to 8 of g of x, dx equals negative 3, find the
1. 3 answers
2. asked by Ella
3. 980 views
PLEASE HELP FIND DEFINITE INTEGRAL. I've been on this problem for an hour and a half and done it over 7 different ways. It can't
1. 1 answer
2. asked by Annale
3. 304 views
Evaluate the definite integral.S4 (-3x+4) dx 1
1. 1 answer
2. asked by Please Help !!!
3. 349 views
Integrate:∫ x^2(x^2+1)sqrt(4-2x^3-x^4) dx
1. 1 answer
2. asked by Bob
3. 299 views
Prove that the integral on the interval [a,b] of x is equal (b^2-a^2)/2integral a to be (x)dx = (b^2-a^2)/2 using the definition
1. 1 answer
2. asked by Anonymous
3. 413 views
Evaluate the definite integral.function: (t+8)(t^2+3) with respect to variable t lower limit: -sqrt(2) upper limit: sqrt(2)
1. 3 answers
2. asked by Max
3. 549 views
Let ∫-7to-1 f(x)dx=9,∫-7to-5f(x)dx=9,∫-3to-1f9x)dx=10.Find ∫-5to-3 f(x)dx=? and ∫-3to-5 (9f(x)-9)dx=?
1. 1 answer
2. asked by Anon.
3. 385 views
find value of def integral with a=-2 and b=2sqrt(3)for integral i get 1/15 *((4+x^2)^(3/2)) (-8+3x^2) for value i get [1536-
1. 1 answer
2. asked by Mikey
3. 310 views
find value of def integral with a=-2 and b=2sqrt(3)for integral i get 1/15 *((4+x^2)^(3/2)) (-8+3x^2) for value i get [1536-
1. 1 answer
2. asked by Mikey
3. 347 views
Hello, I just wanted to verify this definite integral and if my answer is good:a = 1 and b = 4 integral of (1 - 1/x^2)(x^2 +
1. 4 answers
2. asked by Paul
3. 474 views
Evaluate the definite integral:int_{ 2 } ^ { 7 } (10 x + 5) dx =
1. 1 answer
2. asked by Manny
3. 431 views
i need to find the definite integral from 0 to 2|b| of ....x divided by sqrt(x^2 + b^2) dx im having a lot of trouble, thanks in
1. 1 answer
2. asked by tyler
3. 772 views
Evaluate the definite integral.dx/(x*sqrt(lnx)) from 1 to e^4 I'm having trouble figuring this out, I might be overthinking it.
1. 2 answers
2. asked by Confused
3. 1,096 views
Use the form of the definition of the integral to evaluate the intergral.From 0 to 9 (10+6x-x^2)
1. 1 answer
2. asked by Andrew
3. 1,084 views
Evaluate the definite integral from [0,4] 4x^2 dx, by using its definition as a limit of approximating sums.First, I solve
1. 4 answers
2. asked by Sean
3. 964 views
Can someone check my answers:1) Use geometry to evaluate 6 int 2 (x) dx where f(x) = { |x|, -2 <= x <= 2} {2, 2 < x <= 4} {-x+4
1. 2 answers
2. asked by Sydney
3. 1,162 views
Evaluate the following definite integral.sqrt(11 x)(sqrt(x) + sqrt(11)) dx between(0,1)
1. 2 answers
2. asked by Vanessa
3. 815 views
assume the rate at which the world's oil is being consumed isr = 27 e^0.06 t. Here, just as in your book, r is in billions of
1. 1 answer
2. asked by Jane
3. 678 views
Can someone help and express the given integral as the limit of a Riemann sum but do not evaluate: the integral from 0 to 3 of
1. 2 answers
2. asked by Sammy N.
3. 650 views
For the function f(x)=10-4(x^2), find a formula for the lower sum obtained by dividing the interval [0,1] into n equal
1. 2 answers
2. asked by Jenna
3. 639 views
How do you find the definite integral of an absolute function?∫_0^3|2x-3| lower limit= 0 upper limit = 3
1. 5 answers
2. asked by Stephen
3. 641 views
Let f be a continuous function on the interval [0,2] which satisfies integral of f(x)dx=5 when b is 2 and a is 0. Give this
1. 2 answers
2. asked by Anon
3. 626 views
Find the area of the region under the curve y=x+2 over the interval [1,4].
1. 2 answers
2. asked by Anonymous
3. 573 views
This is a definite integral question.Evaluate the following integral: (0)S(a)((x)((a^2 - x^2)^(1/2)))dx with a being a constant
1. 5 answers
2. asked by Joshua
3. 520 views
Estimate the area of the region under the curve y = ln(x) for 1 ≤ x ≤ 5. Use the left-hand rule with n = 50. (Round your
1. 1 answer
2. asked by Anonymous
3. 485 views
Use the midpoint rule to approximate the integral 6x-9x^2 from 2 to 11 with n=3
1. 1 answer
2. asked by Anonymous
3. 441 views
Evaluate the definite integral:[4,8] (4x^2+10)/(x^(1/2)) dx Been trying this for about 1 hour. Very frustrated, thank you.
1. 4 answers
2. asked by Jay
3. 419 views
Area of Definite integration example of solved equation
1. 1 answer
2. asked anonymously
3. 13 views