## 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

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Hi
I can solve them.
thanks

2. Nicolas says:

@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

3. Nicolas says:

@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

4. Nicolas says:

Hay Rishabh Dev, can I use trigonometric idenities and formulaes from my Calculus book and other sources.

• Rishabh Dev says:

Hello Nicolas, You can refer to any book or formulas you wish. The questions are only to enhance your ability to think creatively.

5. arka ..loves math says:

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.

8. d p panda says:

ans-1.(pi+49)^pi-1*ln(x^pi+7)/pi^3

9. Angeline says:

ans 04: x-( arc(x/sqrt 2))/(sqrt 2)

10. John says:

ans01: (〖(π+49)〗^(15/7) ln⁡(x^π+7))/π

11. John says:

ans 01: (〖(π+49)〗^2 ln⁡(x^π+7))/π

12. Rishabh Dev says:

Trust me.. You should try them out yourself first. They may seem difficult, but they’re really not..

13. Jane says:

They’re really awesome.. Where can i find the solutions??