Evaluate: int1/(cos^6x+sin^6x)dx...

Evaluate: `int1/(cos^6x+sin^6x)dx`

Text Solution

AI Generated Solution

To evaluate the integral \[ I = \int \frac{1}{\cos^6 x + \sin^6 x} \, dx, \] we will follow these steps: ...

Doubtnut Promotions Banner Desktop Dark

Doubtnut Promotions Banner Mobile Dark

|

Topper's Solved these Questions

INCREASING AND DECREASING FUNCTION
RD SHARMA|Exercise Solved Examples And Exercises|232 Videos
INVERSE TRIGONOMETRIC FUNCTION
RD SHARMA|Exercise Solved Examples And Exercises|523 Videos

Similar Questions

Explore conceptually related problems

Evaluate: intdx/(cos^6x+sin^6x)

Evaluate: int(1)/(cos^(6)x+sin^(6)x)dx

int(cos^(6)x+sin^(6)x)dx

int(cos6x sin3x)dx

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

Evaluate: int(1-sin x)/(x+cos x)dx

Evaluate: int(1)/(1+sin x+cos x)dx

Evaluate: int(1)/(1+sin x+cos x)dx

Evaluate: int(1)/(1-sin x+cos x)dx

(v) int(cos x)/(sin^(6)x)dx

RD SHARMA-INDEFINITE INTEGRALS-Solved Examples And Exercises

Evaluate: int(x^4\ dx)/((x-1)(x^2+1))
07:58
|
Evaluate: int(dx)/(x^2(x^4+1)^(3/4)) (A) - ( 1 + 1/x^4)^(1/4) + c (B)...
01:47
|
Evaluate: int1/(cos^6x+sin^6x)dx
04:57
|
Evaluate: int(sin2xcos2x)/(sqrt(9-cos^4 2x))\ dx
02:58
|
Evaluate: int(x^3)/(x^(16)+4)dx
06:03
|
Evaluate: int(x^4+1)/(x^6+1)dx
03:41
|
Evaluate: int(x^2+1)/(x^4+x^2+1)dx
02:45
|
Evaluate: int(x^2-1)/((x^2+1)sqrt(x^4+1))dx
04:37
|
Evaluate: int(x^2-sqrt(3)x+1)/(x^4-x^2+1)\ dx
08:58
|
tantheta /(1-cottheta ) + cottheta/(1-tan theta)= 1+sectheta*cosecthet...
07:42
|
Evaluate: int(1+x^2)/((1-x^2)sqrt(1+x^2+x^4))dx
07:22
|
Evaluate: int1/((1+sqrt(x))sqrt(x-x^2))dx
05:54
|
Evaluate: int1/((x^2+2x+2))dx
04:20
|
Evaluate: int1/(x^3sqrt(x^2-a^2))dx
05:00
|
Evaluate: intx/((1-x^4)^(3/2))dx
03:19
|
Evaluate: int(x^4)/(x^2+1)dx
01:29
|
Evaluate: int1/xsqrt((1-sqrt(x))/(1+sqrt(x))dx)
03:13
|
Evaluate: int(sqrt(x))/(x+1)\ dx
03:00
|
Evaluate: int(x^2+1)/(x^4-x^2+1)\ dx
03:13
|
Evaluate: int((x-1)^2)/(x^4+x^2+1)\ dx
07:26
|