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Grade 12Integral Calculus

integrate the following integral
∫ cos 3x cos 4x dx

taniska

11 Years agoGrade 12

1 Answer

Jitender Singh

11 Years ago

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

$I = \int cos3xcos4xdx$
$I = \frac{1}{2}\int 2cos3xcos4xdx$
$I = \frac{1}{2}\int [cosx+cos7x]dx$
$I = \frac{1}{2}[\int cosxdx+\int cos7xdx]$
$I = \frac{1}{2}[sinx+\int cos7xdx]$
$I = \frac{1}{2}[sinx+\frac{sin7x}{7}]+c$

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