Integral Calculus -2

# Integral Calculus -2

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## 20 Questions MCQ Test Topic-wise Tests & Solved Examples for IIT JAM Mathematics | Integral Calculus -2

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Integral Calculus -2 - Question 1

### Detailed Solution for Integral Calculus -2 - Question 1 ...(i)  ....(ii)
Adding (i) and (ii), we get
2l=0
implies 1 = 0

Integral Calculus -2 - Question 2

### The value of Detailed Solution for Integral Calculus -2 - Question 2 Integral Calculus -2 - Question 3

### The value of is equal to

Detailed Solution for Integral Calculus -2 - Question 3

Here f(t) = t3 is continuous function, so from by fundamental theorem of calculus (If f is constinuous on an interval, then f has an anti-derivative on that interval)

Integral Calculus -2 - Question 4 Detailed Solution for Integral Calculus -2 - Question 4 Integral Calculus -2 - Question 5 mπ, then the value of m is:

Detailed Solution for Integral Calculus -2 - Question 5

Given that  Hence Integral Calculus -2 - Question 6

The value of the integral | sin x | dx is equal to:

Detailed Solution for Integral Calculus -2 - Question 6 [Since sin x is periodic with period π] Integral Calculus -2 - Question 7

The value of Detailed Solution for Integral Calculus -2 - Question 7  Integral Calculus -2 - Question 8 x dx is equal to:

Detailed Solution for Integral Calculus -2 - Question 8 Integral Calculus -2 - Question 9 Detailed Solution for Integral Calculus -2 - Question 9   Integral Calculus -2 - Question 10 Detailed Solution for Integral Calculus -2 - Question 10   Integral Calculus -2 - Question 11 xF(sin X) dx is equal to

Detailed Solution for Integral Calculus -2 - Question 11 ...(i)  ...(ii)
Adding (i) and (ii), we get Hence Integral Calculus -2 - Question 12 = where [ ] represents greatest integer:

Detailed Solution for Integral Calculus -2 - Question 12    Integral Calculus -2 - Question 13

The value of Detailed Solution for Integral Calculus -2 - Question 13   Integral Calculus -2 - Question 14 Detailed Solution for Integral Calculus -2 - Question 14   Integral Calculus -2 - Question 15 dt, then the derivative of f(x) with respect to x is:

Detailed Solution for Integral Calculus -2 - Question 15     Integral Calculus -2 - Question 16 Detailed Solution for Integral Calculus -2 - Question 16

Given that Hence  Integral Calculus -2 - Question 17

The value of Detailed Solution for Integral Calculus -2 - Question 17  Integral Calculus -2 - Question 18 is equal to

Detailed Solution for Integral Calculus -2 - Question 18  Integral Calculus -2 - Question 19

If f(x) is the integral of , x ≠ 0, then Detailed Solution for Integral Calculus -2 - Question 19

We have   Integral Calculus -2 - Question 20 x dx is equal to:

Detailed Solution for Integral Calculus -2 - Question 20  ## Topic-wise Tests & Solved Examples for IIT JAM Mathematics

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