Integral Questions with Solutions: Practice and Master Integration

How to change the order of integration:
$\int_{- 1}^{1} d x \int_{1 - x^{2}}^{2 - x^{2}} f (x, y) d y$

Jay Barrett 2022-05-13

Find the integral: $\int \frac{e^{x}}{\sqrt{9 - 4 e^{2 x}}} d x$ .

Sappeycuii 2022-05-13

Find the integral: $\int - \sqrt{- t^{2} - 2 t} d t$ .

Thaddeus Sanders 2022-05-13

Evaluate $\int \frac{1}{\sqrt{- 3 t^{2} + 3 t + 1}} d t$ .

Matilda Webb 2022-05-13

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

Oberhangaps5z 2022-05-13

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

hard12bb30crg 2022-05-13

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

Aedan Tyler 2022-05-13

I tried solving the following integral using integral by parts :
$\int \frac{x^{3}}{(x^{2} + 1)^{2}} d x$

poklanima5lqp3 2022-05-12

Find the integral: $\int - \frac{2}{\sqrt{- x^{2} - 5 x + 1}} d x$ .

Nubydayclellaumvcd 2022-05-12

Compute $\int - \sqrt{t^{2} + 2 t} d t$ .

Blaine Stein 2022-05-12

Evaluate $\int - \frac{1}{\sqrt{t^{2} + t - 1}} d t$ .

dumnealorjavgj 2022-05-12

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

Direkotogbkmn 2022-05-12

Integrate $\frac{1}{\sqrt{t^{2} - 3 t - 3}}$ with respect to t.

Cesar Mcguire 2022-05-12

Evaluate $\int e^{t} \sqrt{1 - 9 e^{2 t}} d t$ .

rynosluv101wopds 2022-05-12

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

Kazeljkaml5n9y 2022-05-12

Find the integral: $\int (- \frac{3}{2 t^{4}} + \frac{t^{2}}{2} + \frac{1}{2 t} - \sin (2 t)) d t$ .

Cesar Mcguire 2022-05-11

Find the integral: $\int \frac{e^{t}}{\sqrt{4 e^{2 t} + 9}} d t$ .

Jaeden Weaver 2022-05-11

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

hisyhauttaq84w 2022-05-11

Evaluate $\int \sqrt{- 3 x^{2} + x + 4} d x$ .

sembuang711q6 2022-05-11

Evaluate $\int - 3 \sqrt{- 2 x^{2} + 4 x + 5} d x$ .

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