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anonymous
 4 years ago
How do you integrate this using substitution ?
∫sin (3pi/2 + pi/4)dx
anonymous
 4 years ago
How do you integrate this using substitution ? ∫sin (3pi/2 + pi/4)dx

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anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0\[\large\int \sin (\frac{3\pi}{2} +\frac{\pi}{4})dx?\]

Mimi_x3
 4 years ago
Best ResponseYou've already chosen the best response.0I think it's missing a \(x\)

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0yea thats the question

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Would the answer be sqrt(2)/2 x?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0the answer at the back is 2/3pi cos (3pi/2 + pi/4) +c

Mimi_x3
 4 years ago
Best ResponseYou've already chosen the best response.0Are you sure that it's \[\int sin\left(\frac{3\pi}{2}+\frac{\pi}{4}\right) dx\]?? I think that it's missing a \(x\) somewhere

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0yea thats the question

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Ok so the answer is sqrt(2)/2 x

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Just simplify sin ( (3pi/2) + (pi/4))

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0sin ((3pi/2) + (pi/4)) = sin(pi/4)

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Then if you remember your exact values, sin(pi/4) = sqrt(2)/2

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0So sin(pi/4) = sqrt(2)/2

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Then integrate sqrt(2)/2

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0I mean integrate sqrt(2)/2 with respect to x

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0You will get integral(sin ( (3pi/2) + (pi/4))) = sqrt(2)/2 x
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