Question

Find the integral of (cos^2(x))((cosxsin^2n+1)*(pi/2*sinx)+(sinxsin^2n+1)(pi/2*cosx)) from 0 to pi/2

Answer 1

Input it more clearly.

Answer 2

\[\int\limits_{0}^{\pi/2}\cos ^{2}x(\cos x \sin ^{2n+1}(\frac{ \pi }{ 2 }sinx)+sinxsin ^{2n+1}(\frac{ \pi }{ 2 }cosx))dx\]

Answer 3

Go Wolfram.

Answer 4

I don't have the first clue on how to use that

Answer 5

http://integrals.wolfram.com/index.jsp

Answer 6

Wolfram sucks these days :(

Answer 7

How?

Answer 8

Thats what happens with all these free awesome programs

Answer 9

Well, I don't think it even has CAS.
I don't use it though.

Answer 10

Well if you wanna see the steps then you gotta have membership

Answer 11

Well, I'd expect them to do that.

Answer 12

Ummm this is an annoying function. @Skip2mylou426 what r u currently studying?

Answer 13

Wolfram was the best matrix calculator .........

Answer 14

was?

Answer 15

Think it's always been Matlab......

Answer 16

Welll ya Dont have matlab. I used to have mathematica but my comp broke down so dont have it no more :(

Answer 17

@Skip2mylou426 I think the integral can't be evaluated easily because of the form sin(acos(b))

Answer 18

@swissgirl Yeah, if you're into coding, you'll fancy Matlab.

Answer 19

I guess he went to the lou :)

Answer 20

I was trying to type that monstrosity into Wolfram. Epic fail. It didn't work at all.

Answer 21

http://www.wolframalpha.com/widgets/view.jsp?id=dc816cd78d306d7bda61f6facf5f17f7 This might help too

Answer 22

OMG IK THAT

Answer 23

It always happens to me

Answer 24

There is no free CAS engine...........unless you can hack.
Otherwise, get your pen and paper.

Answer 25

wait let me try wolframming it for u

Answer 26

A little rusty on the calculus. I haven't taken calc in 3 or 4 years unfortunately

Answer 27

What course are u taking now?

Answer 28

@swissgirl No point.
The integrand has the form of a switch variable 'n' which would leave the answer not numeric, but algebraic........which requires a CAS software.

Answer 29

It's called Problem Solving. It's a combination of every type of math course that could've possibly been taken.

Answer 30

FUNNNNNN :)

Answer 31

haha not quite. He only gives us 1 point per problem solved. All work is required and 500 points are needed to get an A. Class has one month left (halfway done) and I have 178 points right now. KILL ME.

Answer 32

I don't see the point in putting that into an integral.
The integrand can be simplified though....it just looks ugly.