Integration (1 Viewer)

[ozidolroks]

Hi

How do u integrate cosx.sinx dx


thanks

 

[jet]

 

[ozidolroks]

回复: Integration and probability

thanks

can u please help me with this question

1. integration of sin^2x.cos^2x dx

2. simplify sin4xcos4x, sinxcosxcos2x, 2sin2xcos2x

3. In how many ways can 5 men and 5 women be arranged in a circles so that the men are separated? In how many was can this be done if two particular women must not be next to a particular man?
( I can do the 1st part of this question but can't do the 2nd part)

4. P,A, B, and C are four points in a plance such that the angles BPA and CPA are obtuse and on opposite sides of PA. PA = 8cm, BP =10cm, PC = 12cm, AB = 14cm and AC = 18cm. Calculate the length of BC and the area of the triable ABC.

5. find the general solution of

sinx+cosx= 1

 

[addikaye03]

Hi

How do u integrate cosx.sinx dx


thanks

Let u=sinx,

du/dx=cosx

du=cosx dx

therefore

int. (u)(du)

u^2/2= sin^2x/2+C


I just done this method for the purpose of showing you, i would have done it Jet black's method.

 

[addikaye03]

Re: 回复: Integration and probability

thanks

can u please help me with this question

1. integration of sin^2x.cos^2x dx

2. simplify sin4xcos4x, sinxcosxcos2x, 2sin2xcos2x

3. In how many ways can 5 men and 5 women be arranged in a circles so that the men are separated? In how many was can this be done if two particular women must not be next to a particular man?
( I can do the 1st part of this question but can't do the 2nd part)

4. P,A, B, and C are four points in a plance such that the angles BPA and CPA are obtuse and on opposite sides of PA. PA = 8cm, BP =10cm, PC = 12cm, AB = 14cm and AC = 18cm. Calculate the length of BC and the area of the triable ABC.

5. find the general solution of

sinx+cosx= 1

2.
sin4xcos4x= 1/2(sin8x)

2sin2xcos2x=sin4x

lol i'll do the rest later if no one else has

 

[GUSSSSSSSSSSSSS]

Re: 回复: Integration and probability

1. (sinx)^2 = (1/2)(1-cos2x)
AND (cosx)^2 = (1/2)(1+cos2x)

then just expand and integrate normally xD

 

[jet]

Re: 回复: Integration and probability


That is working from memory, so there may be a mistake......

 

[addikaye03]

Re: 回复: Integration and probability

That is working from memory, so there may be a mistake......

nah man, thats def correct

EDIT: Ahh shit, its not... sorry all

 

[GUSSSSSSSSSSSSS]

Re: 回复: Integration and probability

That is working from memory, so there may be a mistake......

much better than my solution

......however shudnt it be a 1/4 out the front rather than a 1/2 ???

 

[study-freak]

Re: 回复: Integration and probability

That is working from memory, so there may be a mistake......

sin^2 xcos^2 x=1/4(2sinxcosx)^2=sin^2(2x)/4

 

[jet]

Re: 回复: Integration and probability

much better than my solution

......however shudnt it be a 1/4 out the front rather than a 1/2 ???

Actually, there should be a 1/8 infront of the sin4x

EDIT... Wait yes. That's what sucks about sin squared with double angles.

 

[ozidolroks]

回复: Integration

how do u integrate cos^3 x dx

 

[jet]

Re: 回复: Integration

 

[jet]

Re: 回复: Integration