Calculus Quiz

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*Quiz 'Calculus Quiz' Hi There Guys. This Quiz Contain 30 Questions. All Varying From Easy To Hard. You Can Make Use Of This Quiz To Improve Your Calculus Skills And To Improve Your Scores In Exams Like JEE , SAT etc.. All The Best*

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**😊***30 questions ·*

**🖊***3 min*

**⏱**Description

Calculus, Maths, Mathematics, Integration, Differentiation, JEE, Advanced, Mains, Fun, Differentiation, English, Grade, Brain Engaging

Tags

30

Questions

3 min

Per question

8:54

Average time

4.0

Contest Score

4.0

Community Rating

18

Participants

Step-by-step approach to teaching.

E.g.: #q1, #q2, #q3 etc👍Maybe where I come from we're dumb students or so, but I am not used to do such complex integration.

But if you think the category correspondents to the level at your place it's fine. :)

The 2019 JEE Advanced question paper 1&2 can be found in the page.

. All the best for your quiz...☺️∫ [x/1+x⁴]dx is ?

Not (1/2)tan^-1 x^2+c!

x/1 can be written as: x

now ∫ [x+x⁴]dx

is x^5/5+x^2/2 + C

as you can check for example on this website: https://www.integral-calculator.com/

Same as below.

🤷🏾♂️Because I was trained to consider the precedence of the operators very accurately.

₀∫¹ [1-x/1+x]dx

The function you are integrating on is

1- x/1 +x minding PEMDAS or however you call the order of operations (https://en.wikipedia.org/wiki/Order_of_operations), because / would go before - or +

This simplifies to:

1-x+x = 1

Now the solution would be 1 as well.

You disregarded the order of operations in the explanation again:

₀∫¹[2-(1+x)/1+x]dx = [2log|1+x|-x]₀ ₜₒ ₁

What you mean would be that:

₀∫¹[(2-(1+x))/(1+x)]dx

But I don't think it's my job to figure out which order of operations you meant, because there's only ONE.

☺️You could have used images from rendered LaTex.

Or you could have used brackets.

I neither want to be nitpicking nor starting a debate on principles. But in my opinion mathematics is also about writing things down in an unambiguous way.

So let me indicate: This is not 100% correct from a mathematical point of view.

, helped me recollect some concepts again!👏☺️☺️2. The questions seem to be too difficult for an average student.

3. The guides to answers are not explanatory.

☺️The quiz was set on Advanced level and the Tags included JEE Advanced , one of worlds toughest technical exams to crack for a higher secondary student.

Telegrams explantion has a word limit and it doesn't allow latex so every mathematical symbol was added in with great effort also every effort was took to encapsulate the solutions within the word limit. Next time I will use telegra.ph for providing the solutions.