Answer (Detailed Solution Below)

Option 1 : 1
Free
Rajasthan RSEB JEN (RVUNL) Electrical - Mini Mock Test
70 Qs. 100 Marks 60 Mins

Detailed Solution

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Concept:

Integration Formula

Trigonometry Formula

tan() = 1

Calculation:

Given

⇒ 

⇒ 

⇒ tan-1(a) - tan-1(0) = 

⇒ tan-1(a) - 0 = 

⇒ a = tan()

⇒ a = 1

The value of a is 1

Additional Information

Integral Formulas:

  • ∫ dx = x + C
  • ∫ a dx = ax+ C
  • ∫ sin x dx = – cos x + C
  • ∫ cos x dx = sin x + C
  • ∫ sec2 x dx = tan x + C
  • ∫ cosec2 x dx = - cot x + C
  • ∫ sec x (tan x) dx = sec x + C
  • ∫ cosec x ( cot x) dx = – cosec x + C
  • ∫ (1/x) dx = ln |x| + C
  • ∫ ex dx = e+ C

 

where C is the constant of integration.

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