Integral Questions with Solutions: Practice and Master Integration

Find the integral: $\int \frac{2 e^{x}}{\sqrt{e^{2 x} + 4}} d x$ .

Merati4tmjn 2022-04-10

Find the integral: $\int (\frac{5 t^{3}}{2} + \frac{3}{t^{3}} - \frac{\sin (t)}{2} - 2 \cos (2 t) + 2) d t$ .

Jazlyn Raymond 2022-04-10

Integrate $\frac{3 t^{3}}{2} - \frac{5}{2 t} + \sin (2 t) + 2 \cos (2 t)$ with respect to t.

Peia6tvsr 2022-04-10

Find the integral: $\int (- \frac{1}{2 t^{2}} + \frac{5}{2 t} + \frac{3}{2} \sin (2 t) - \frac{3 \cos (t)}{2} + 1) d t$ .

Alaina Holt 2022-04-10

Evaluate $\int (\frac{3}{2 x^{4}} - \frac{2}{x} + \frac{3}{2} \sin (2 x) + \frac{5}{2} \cos (3 x)) d x$ .

othereyeshmt4l 2022-04-10

Integrate $- \frac{3}{x^{2}} + \frac{1}{2 x} + \frac{3}{2} \cos (2 x) + 3$ with respect to x.

Justine Webster 2022-04-10

Compute $\int (- \frac{3}{x^{3}} + \frac{3}{2 x} - 3 \sin (3 x) - \frac{5}{2} \cos (2 x)) d x$ .

Fescoisyncsibgyp8b 2022-04-10

Integrate $\frac{x}{2} - \frac{5}{x} + \frac{\cos (x)}{2} - 3 \cos (3 x)$ with respect to x.

Pedro Ramirez2022-04-07

Calculate the iterated integral
$\int_{0}^{1} \int_{0}^{1} 4 x y \sqrt{x^{2} + y^{2}} d x d y$

Aishy Chakraborty2022-03-28

Verify that y1(x) = x^3 is a solution of x^2y''-5xy'+9y= 0. Hence find the general solution.

snajat3l 2022-02-11

Write the integral as a sum of integrals without absolute values and evaluate:
$\int_{- 6}^{3} {| x |}^{3} d x$

Solve This plox my Exam is going on soo

kramtus51 2022-01-04

Evaluate the definite integral exactly
$\int_{0}^{1} {(e^{5 x} - 5 x)}^{3} (e^{5 x} - 1) d x$

Pamela Meyer 2021-12-21

Solve and give correct answer for this taylor series of ln(1+x)?

Sapewa 2021-12-21

Find the charge flowing through a device if the current is:
a) $i (t) = 3 A, q (0) = 1 C$
b) $i (t) = (2 t + 5) m A,$
$q (0) = 0 (c) i (t) = 20$
$\cos (10 t + \frac{π}{6}) μ A, q (0) = 2 μ C (d) A, i (t) = 10 e^{- 30 t} \sin 40 t A, q (0) = 0$

Arthur Pratt 2021-12-19

Using polar coordinates, evaluate the integral
$\int \int_{R} \sin (x^{2} + y^{2}) d A$ where R is region
$4 \leq x^{2} + y^{2} \leq 64$

zeotropojd 2021-12-19

Find the curve's length over the specified range. $r = 8 + 8 \cos θ$ on the interval $0 \leq θ \leq π$

jamessinatraaa 2021-12-17

What is the integral of $\sec^{3} (x)$ ?

Although solving integrals starts in high school, these answers that are provided are related to post-secondary problems that are approached by Data Science students, economists, and engineers in their daily tasks. It’s a reason why integral questions that you will see below will span across a wide range of problems. You can also compare your integral problem and see equations that relate to your question. Alternatively, it will help you with solving integrals step by step. There are many methods to do that as the provided answers show. Starting with solving integrals with substitution to variables, the help is there.

Integral Calculus

Integral Problem Solving Made Easy: Learn with Examples