Home
Class 12
MATHS
Evaluate int(1)/(4sin^(2) x + 9 cos^(2) ...

Evaluate `int(1)/(4sin^(2) x + 9 cos^(2) x) dx`

Text Solution

Verified by Experts

The correct Answer is:
`I=1/6 tan^(-1)((2tan x)/(3))+C`
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRAL

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 1|15 Videos

  • INDEFINITE INTEGRAL

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 2|15 Videos

  • HYPERBOLA

    ARIHANT MATHS ENGLISH|Exercise Hyperbola Exercise 11 : Questions Asked in Previous 13 Years Exams|3 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

Similar Questions

Explore conceptually related problems

Evaluate : int (1)/(" sin"^(2) x " cos"^(2) x ") ") " dx "

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

Evaluate int(4)/(sin^(4)x+cos^(4)x)dx

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

int(1)/(cos^(2) x-3 sin^(2) x)dx

Evaluate: int1/(sin^2x+sin2x)dx

Evaluate: int1/(4sin^2x+4sinxcosx+5cos^2x)\ dx

Evaluate: int(sin2x)/(a^2sin^2x+b^2cos^2x)\ dx

Evaluate: int(sin2x)/(a^2sin^2x+b^2cos^2x)\ dx

Evaluate: int1/(sin^2x+sin2x)\ dx