Integral Problems & Solutions - Explore with Us!

Recent questions in Applications of integrals

York 2021-02-12

Evaluate the following integrals.
$\int_{- 2}^{- 1} \sqrt{- 4 x - x^{2}} d x$

Bevan Mcdonald 2021-02-11

Find ine indicated sum.
$\sum_{i = 1}^{9} i^{2} + 2$

Bevan Mcdonald 2021-02-08

Evaluate the integral.
$\int x^{2} \ln x d x$

nagasenaz 2021-02-08

Evaluate the integrals
$\int_{0}^{1} [t e^{t 2} + e^{- t j} + k] d t$

Dolly Robinson 2021-02-08

Evaluate each definite integral.
$\int \sin x d x$

kuCAu 2021-02-05

$\int (\frac{y^{2}}{x^{2} y + y^{3}}) d x$

smileycellist2 2021-02-05

Use a table of integrals to evaluate the definite integral.
$\int_{0}^{3} \sqrt{x^{2} + 16} d x$

pedzenekO 2021-02-03

Utilizing double integrals in applications:
A lamina occupies the part of the disk $x^{2} + y^{2} \leq 1$ in the first quadrant. If the density at any point is proportional to the square of the distance from the origin, use polar coordinates to determine the lamina's center of mass.

Clifland 2021-01-28

Evaluate the integrals.
$\int_{- 2}^{2} (3 x^{4} - 2 x + 1) d x$

slaggingV 2021-01-28

Evaluate the integrals using a table of integrals.
$\int x \sin^{- 1} 2 x d x$

Yulia 2021-01-15

Evaluate each definite integral.
$\int_{3}^{0} (x + 2) d x$

Haven 2021-01-15

Calculate the iterated integral.
$\int_{0}^{4} \int_{0}^{12} 2 e^{x + 3 y} d x d y$

generals336 2021-01-15

Evaluate the integral.
$\int (\frac{2}{x^{3}} + \frac{1}{\sqrt{x}}) d x$

aortiH 2021-01-13

Evaluate the following integrals.
$\int (\frac{x}{\sqrt{x - 4}} d x) .$

facas9 2021-01-13

Find the following integral.
$\int \sqrt{x} (x^{3} + \frac{x}{2}) d x$

Tazmin Horton 2021-01-06

Evaluate the following integrals.
$\int \frac{d x}{x^{3} - x^{2}}$

melodykap 2021-01-04

Calculate the iterated integral.
$\int_{0}^{4} \int_{0}^{12} 2 e^{x + 3 y} d x d y$

CMIIh 2020-12-30

To find total cost, to the nearest cent, to cool the house for this 24-hour period

Khaleesi Herbert 2020-12-29

To find the average temperature, to the nearest degree Fahrenheit, between t = 16 and t = 14.

generals336 2020-12-28

Evaluate the integral
$\int_{- 2}^{2} \frac{d p}{\sqrt{4 - p^{2}}}$

Applications of integrals are one of the popular but still complex fields that many students encounter not only in Math and Physics but in subjects like Programming and Engineering. For example, start with the applications of double integrals and you will see how it is useful in the construction of some building where the shape must be found or the gravity matters should be presented as the model. At the same time, if your questions are based on equations, consider geometric applications of definite integrals help that is also present below as you take a look through the relevant answers.

Integral Calculus

Master Integral Application Problems