Integrate : (i) int sin^(3) x cos^(5) x ...

Integrate : (i) `int sin^(3) x cos^(5) x dx`

Text Solution

Verified by Experts

The correct Answer is:

`= - z^(6)/6 + z^(8)/8 + c = 1/8cos^(8) x - 1/6 cos^(6) x + c`

Doubtnut Promotions Banner Desktop Dark

Doubtnut Promotions Banner Mobile Dark

|

Topper's Solved these Questions

INTEGRALS OF SOME SPECIAL FORM OF FUNCTIONS
CHHAYA PUBLICATION|Exercise MCQ|10 Videos
INTEGRALS OF SOME SPECIAL FORM OF FUNCTIONS
CHHAYA PUBLICATION|Exercise Very Short answer type questions|12 Videos
INTEGRALS OF SOME SPECIAL FORM OF FUNCTIONS
CHHAYA PUBLICATION|Exercise EXAMPLE 21|1 Videos
INCREASING AND DECREASING FUNCTION
CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos
INTEGRATION BY PARTS
CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos

Similar Questions

Explore conceptually related problems

Integrate : int sin^(-1)x dx

Integrate: int sin^(2) x cos^(4) x dx

Integrate : int sin^(5)x dx

Integrate : int sin^(4)x dx

Integrate : int sin^(-1)(x)dx

Integrate : int cos^(3) x sin^(4) x dx

Evaluate the following integrals : int (sin^(3) x + cos^(3) x )/(sinx + cos x ) dx

int sqrt(sin x )cos^(3) dx

Integrate : int(sin^(-1)x)^(3)dx

Integrate : int x^(2)cos^(3)x dx

CHHAYA PUBLICATION-INTEGRALS OF SOME SPECIAL FORM OF FUNCTIONS-IIIustrative Examples

Integrate : (i) int sin^(3) x cos^(5) x dx
02:22
|
Integrate : int cos^(3) x sin^(4) x dx
01:52
|
Integrate: int sin^(2) x cos^(4) x dx
03:47
|
Evaluate :int dx/(cos (x - a) cos (x - b))
04:15
|
Evaluate :int ((x-l)(x-m))/((x-a)(x-b))dx
03:22
|
Integrate:int x^(2)/(2x^(4) - 7x^(2) - 4) dx
07:19
|
Evaluate :int x^(3)/(x^(4) + x^(2) - 12)dx
04:38
|
Evaluate :int (x^(2)dx)/(x^(6) -6x^(3) + 5)
02:18
|
Evaluate:int (x^(4) + 1)/(x^(6) + 1) dx
02:43
|
Evaluate: int (sin x dx)/(sin^(3)x + cos^(3)x)
09:06
|