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Top Questions

1.I have a calculation doubt. How do we calculated an x% charge on every y% breach of total z% breach. ...

E.g. 5% charge on every 10% breach of the total breach of 102%. Any short summed-up formula?
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2.Alberto ran 4/5 kilometer on Monday. On Tuesday, he runs 91/0 of the distance he ran ...

How far did he run on Tuesday? Enter your answer in the box as a fraction in simplest form.
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5.You will be assembling 4 expressions using order of operations. The trick to this project is that you’ll be ...

ou’ll be using the same 4 numbers written in the same order. The only thing that will change in each expression will be the tools you’ll use from your toolbox. The tools that you’ve learned so far for order of operations are parentheses, exponents, multiplying, dividing, adding, and subtracting. Here are the four numbers. Keep them in this order: 18 2 4 3 Here are the tools in your toolbox: The 2 and 3 represent exponents, so you are allowed to square or cube a number. Listed below are the values you need to create. 21 = 67 = -6 = 103 =
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8.An electronics dealer offers a discount of 10% on the Marked price of Electronics. He still makes a profit of ...

profit of 20%. If his gain on the sale of one electronic item is rupees 4500 find the Marked price of the electronic item.
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Definite Integrals:

When we Integrate any function we get a function and a constant term. But in case of a definite integral we get a unique answer without any integration constant. The application of definite integral is used to calculate the area bounded between the curves and find the volume of a solid body.

We can also say that; In a function f(x) which is continuous in the given interval[a,b] if we divide the given interval into n equal parts of width ∆x and select xi from the given interval, then definite integral of a function from a  to b is given by:

definite integral of a function from a to b


Definite Integrals Sample Questions:

Question 1: Question 1 is equal to


(a) 1

(b) 2

(c) 0

(d) -2

Answer: (d)

Explanation: Explanation 1 on dividing and multiplying by 1- sinx 


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Question 2: Question 2 is equal to


(a) Question 2 a

(b) Question 2 b

(c) Question 2 c

(d) Question 2 d

Answer: (a)

Explanation: Question 2 d


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Question 3: Find the value of Question 3dx


(a) 0

(b) 2

(c) 4

(d) 8

Answer: (d)

Explanation: I = Explanation 3dx = Explanation 3.1dx


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Question 4: Evaluate Question 4dx


(a) 0

(b) Question 4 b

(c) Question 4 c

(d) None of these

Answer: (c)

Explanation: Explanation 4dx.........eq1


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Question 5: What is the derivative of Question 5x>0 is


(a) Question 5 a

(b) Question 5 b - Question 5 B

(c) Question 5 cx(x-1)

(d) Question 5 d

Answer: (c)

Explanation: Explanation 5Explanation 5.1


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Question 6: Given that  I10= Question 6dx, then, find the value of I10 +90 I8 is


(a) 9Question 6 a

(b) 10Question 6 b

(c) Question 6 c

(d) 9Question 6 d

Answer: (b)

Explanation: I^10= Explanation 6dx   {applying the rule of by-parts, using ILATE.}


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Question 7: Question 7 is equal to


(a) 0

(b) 1

(c) Question 7 c

(d) Question 7 d

Answer: (d)

Explanation: I = Explanation 7……………eq(1)


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Question 8: Question 8 dx is equal to


(a) 0

(b) Question 8 b

(c) Question 8 c

(d) Question 8 d

Answer: (c)

Explanation: I = Explanation 8 dx


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Question 9:Calculate Question 9dx


(a) 0

(b) Question 9 b

(c) Question 9 c

(d) Question 9 d

Answer: (d)

Explanation: Using the formula cos x = Explanation 9


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Question 10: Question 10f(x) dx is equal to


(a) 2  Question 10 a f(x)dx 

(b) 0

(c) Question 10 c f(x)dx + Question 10 C f(2a-x)dx

(d) Question 10 d f(x)dx + Question 10 D f(2a-x)dx

Answer: (c)

Explanation: I =  Explanation 10  f(x)dx  = Explanation 10.1 

I = F(2a) – F(0)


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