Integral Problems & Solutions - Explore with Us!

Recent questions in Applications of integrals

ruigE 2020-12-28

Evaluate the following definite integral.
$\int_{1}^{e} \ln 2 x d x$

Khaleesi Herbert 2020-12-28

Use the table of integrals at the back of the text to evaluate the integrals $\int 8 \sin (4 t) \sin (\frac{t}{2}) d t$

Lipossig 2020-12-24

Calculate the following integral.
$\int (x - \frac{2}{x} - 2 x^{2}) d x$

Tolnaio 2020-12-17

To calculate the volume of the solid, rotate the area enclosed by the graphs of the equations about the x-axis. Verify your results using the integration capabilities of a graphing utility.
$y = \cos 2 x$
y=0
x=0
$x = \frac{π}{4}$

snowlovelydayM 2020-12-17

Evaluate the following definite integrals
$\int_{0}^{1} (x^{4} + 7 e^{x} - 3) d x$

he298c 2020-12-13

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

ringearV 2020-12-07

Evaluate the integral.
$\int \frac{\sin^{- 1} x}{\sqrt{1 - x^{2}}}$

Anish Buchanan 2020-12-01

Find four consecutive integers such that the sum of the squares of the first two is 11 less than the square of the fourth.

Line 2020-11-23

Show that the differential forms in the integrals are exact. Then evaluate the integrals.
$\int_{1, 1, 2}^{3, 5, 0} y z d x + x z d y + x y d z$

waigaK 2020-11-20

Evaluate the following definite integrals:
$\int_{0}^{1} (x^{4} + 7 e^{x} - 3) d x$

remolatg 2020-11-12

How integrals are convergent?
$\int_{0}^{\infty} \sin 17 x d x$

Phoebe 2020-11-12

Solve the following integral
$\int_{0}^{4} 3 x (4 - x) d x = 32$
$\int_{0}^{4} x (x - 4) d x$

tabita57i 2020-11-09

Evaluate the integral.
$\int \frac{x^{2} - 1}{x^{2}} d x$

Reeves 2020-11-08

Evaluate the integral $\int \frac{\cos (1 - \ln (y))}{y} d y$

cistG 2020-11-08

Evaluate the following integral.
$\int_{1}^{32} (x^{- \frac{6}{5}}) d x$

Aneeka Hunt 2020-11-08

Evaluate the following integrals.
$\int (2 x^{3} - x^{2} + 3 x - 7) d x$

Rivka Thorpe 2020-11-08

What are improper integrals?

generals336 2020-11-05

Evaluate the following integral.
$\int x^{- 3} (x + 1) d x$

Dolly Robinson 2020-11-01

Find the following integral.
$\int \frac{x^{2} - 1}{x^{2}} d x$

Elleanor Mckenzie 2020-10-28

True or False: In many applications of definite integrals, the integral is used to compute the total amount of a varying quantity.

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