Find the value of the integral int(0)^...

Find the value of the integral
`int_(0)^(pi//2) sin^(10)x dx `

Text Solution

Verified by Experts

The correct Answer is:

`(63pi)/(512)`

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Knowledge Check

int_(0)^(pi//2) x sin^(8) 2x dx=

A

`(35pi^(2))/(1024)`

B

`(3pi^(2))/(128)`

C

`(pi^(2))/(32)`

D

`(5pi^(2))/(32)`

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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-DEFINITE INTEGRALS-Exersice -7(c)

Find the value of the integral int(0)^(pi//2) sin^(10)x dx
03:06
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Find the value of the integral underset(0)overset(pi//2)int sin^(10...
03:06
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Find the value of the integral int(0)^(pi//2) cos^(7)x . Sin^(2)x dx
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Find the value of the integral int(0)^(pi//2) sin^(4)x . cos^(4)x dx
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Find the value of the integral int(0)^(pi) sin^(3)dx cos^(6) x dx
05:17
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Find the value of the integral int(0)^(2pi) sin^(2)x cos^(4)x dx
03:48
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Find the value of the integral int(-pi//2)^(pi//2) sin^(2) theta . ...
05:44
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Find the value of the integral int(-pi//2)^(pi//2) sin^(3) theta. C...
04:19
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Find the value of the integral int(0)^(a) x(a^(2)-x^(2))^(7/2) dx
04:37
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Find the value of the integral int(0)^(2) x^(3//2)sqrt(2-x) dx
05:42
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Evaluate the integral int(0)^(1) x^(5) (1-x)^(5//2)dx
05:15
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Evaluate the integral int(0)^(4) (16-x^(2))^(5//2) dx
04:54
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Evaluate the integral int(-3)^(3) (9-x^(2))^(3//2)x dx
03:47
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Evaluate the integral int(0)^(5) x^(3) (25-x^(2))^(7//2) dx
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Evaluate the integral int(-pi)^(pi) sin^(8)x cos^(7)x dx
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Evaluate the integral int(3)^(7) sqrt((7-x)/(x-3))dx
08:25
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Evaluate the integral int(2)^(6) sqrt((6-x)(x-2))dx
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Evaluate the integral int(0)^(pi//2) tan^(5)x cos^(8)x dx
04:07
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Evaluate the integral int(0)^(1) x^(7//2)(1-x)^(5//2) dx
05:10
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Evaluate the integral int(0)^(pi) (1+cosx)^(3) dx
03:50
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