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Grade 12Integral Calculus

integrate the following integral
∫ sin 4x cos 7x dx

taniska

11 Years agoGrade 12

1 Answer

Jitender Singh

11 Years ago

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

$I = \int sin4xsin7xdx$
$I = \frac{1}{2}\int 2sin7xsin4xdx$
$I = \frac{1}{2}\int [sin3x+sin10x]dx$
$I = \frac{1}{2}[\int sin3xdx+\int sin10xdx]$
$I = \frac{1}{2}[-\frac{cos3x}{3}+\int sin10xdx]$
$I = \frac{1}{2}[-\frac{cos3x}{3}-\frac{cos10x}{10}]+c$

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