5 Most Beautiful Questions From Integral Calculus
Some people love solving math just for its own sake – they find beauty in mathematics. For them, math is not only used for application in physics or engineering. It’s just beautiful in itself – on its own – PURE, BEAUTIFUL.
The “beauty” can be found in equations, expressions and the flow that takes place when you form a solution. Such beauty can be found in the following questions.
If you’re a Calculus student or a math enthusiast – try out these 5 beautiful questions from Integral Calculus. I made these questions a long time ago and have received solutions for only two of them so far. See if you can solve them all.
Question #1
Question #2
Question #3
Question #4
Question #5
You can leave your answers as a comment here or mail them to me at dev@durofy.com












Discuss - 14 Comments
Hi
I can solve them.
give me a time please.
thanks
@Rishabh Dev
Thanks Rishabh Dev. I have done question #1. I am quoting the first picture. What is the institution and city where the work is housed? for citing your work
@Rishabh Dev
Thanks Rishabh Dev. I have done question #1. I am quoting the first picture. What is the institution and city where the work is housed? for citing your work
@Rishabh Dev
Hay Rishabh Dev, can I use trigonometric idenities and formulaes from my Calculus book and other sources.
Hello Nicolas, You can refer to any book or formulas you wish. The questions are only to enhance your ability to think creatively.
ans 1 is :(7/22)* (pi+49)^15/7*(1/pi^2)* (ln|x^(1/7)|) ..trick is .. just replace pi=22/7 in case of power of x^pi in denominator
@John
1. {(pi + 49)^15/7 * ln (x^pi + 7)} / pi^3
This is really the beauty of mathematics so cute, anyway quite nice to solve.
ans-1.(pi+49)^pi-1*ln(x^pi+7)/pi^3
ans 04: x-( arc(x/sqrt 2))/(sqrt 2)
ans01: (〖(π+49)〗^(15/7) ln(x^π+7))/π
ans 01: (〖(π+49)〗^2 ln(x^π+7))/π
Trust me.. You should try them out yourself first. They may seem difficult, but they’re really not..
They’re really awesome.. Where can i find the solutions??