Home
Class 12
MATHS
If int4/(sin^4x+cos^4x)dx=atan^(-1)((tan...

If `int4/(sin^4x+cos^4x)dx=atan^(-1)((tanx-1/tanx)/b)+C`, then find the values of a and b, respectively.

A

`2sqrt2,sqrt2`

B

`sqrt2,2`

C

`sqrt3,sqrt2`

D

`sqrt2,4`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRAL

    BITSAT GUIDE|Exercise BITSAT Archives |14 Videos

  • EXPONENTIAL AND LOGARITHMIC SERIES

    BITSAT GUIDE|Exercise BITSAT Archives|8 Videos

  • LIMITS CONTINUITY AND DIFFERENTIABILITY

    BITSAT GUIDE|Exercise BITSAT Archives |28 Videos

Similar Questions

Explore conceptually related problems

int 1/(sin^2x cos^4x)dx

If int(1)/(a^(2)sin^(2)x+b^(2)cos^(2)x)dx=(1)/(12)tan^(-1)(3 tanx)+C , then the value of ab , is

If int(sin^(4)x)/(cos^(8)x)dx=atan^(7)x +btan^(5)x+C , then

If int(1)/(1-sin ^(4)x)dx=(1)/(2) tanx+Atan^(-1){f(x)}+C , then

Evaluate: int1/(sin^4x+cos^4x)\ dx

inte^(x)tanx(1+tanx)dx=

If int(1)/(4sin^(2)x+4sin x cos x+5cos^(2)x)dx=A tan^(-1)(B tanx+C)+k , then

If int(dx)/(cos2x+3sin^(2)x)=(1)/(a)tan^(-1)(b tanx)+c, then ab=