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JEE Main 2017 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 2 April 2017 (offline), Maths Q74

Question 74 of 90 in this shift, Maths question 14 of 30.

Let

I_n=\int\tan^n x\,dx,\ (n>1)

. If

I_4+I_6=a\tan^5x+bx^5+C

, where C is a constant of integration, then the ordered pair (a, b) is equal to :

(1) $\left(\frac{1}{5},0\right)$ Official answer
(2) $\left(\frac{1}{5},-1\right)$
(3) $\left(-\frac{1}{5},0\right)$
(4) $\left(-\frac{1}{5},1\right)$

Official answer

Option 1

CBSE answer key (25/04/2017, used for result).

Chapter: Integrals
Topic: Integration by Parts
Idea tested: Trigonometric Reduction Formulas

Same idea in other shifts

Asked 2× in all

4 Apr 2024, Shift 2 · Q26If…HardNumerical value

Question text from the official JEE Main paper published by NTA (CBSE ran the 2017 exam); answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.