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Integral Calculus> integrate the following integral ∫ cos^2(...

question mark

integrate the following integral
∫ cos^2(nx) dx

taniska , 10 Years ago

Grade 12

1 Answers

Jitender Singh

Last Activity: 10 Years ago

Ans:
Hello Student,
Please find answer to your question below

$I = \int cos^{2}(nx)dx$
$I =\frac{1}{2} \int 2cos^{2}(nx)dx$
$I =\frac{1}{2} \int (1+cos(2nx)dx$
$I =\frac{1}{2}[\int dx+\int cos(2nx)dx]$
$I =\frac{1}{2}[x+\int cos(2nx)dx]$
$I =\frac{1}{2}[x+\frac{sin(2nx)}{2n}]+c$

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