Reduction for integrals of tan^n x or cot^n x using I(n) + I(n + 2)
This type of question, asked 3 times: 2021 Paper 4, 13 Apr 2023, 22 Jan 2025. All 3 questions below, oldest first.
Try each one first, then open its answer.
Question 1
2021 Paper 4
64If In=∫π/4π/2cotnxdx, then:
Tap an option to check your answer.
Question 2
13 Apr 2023
170The value of ∫04πe−x(tan49x+tan51x)dxe−4π+∫04πe−xtan50xdx is
Tap an option to check your answer.
Question 3
22 Jan 2025
65Let for f(x)=7tan8x+7tan6x−3tan4x−3tan2x, I1=∫0π/4f(x)dx and I2=∫0π/4xf(x)dx. Then 7I1+12I2 is equal to :
Tap an option to check your answer.