Question

Using indefinite integration. Calculate the following integrals.

A) dy/dx = 0.5 sin(3x) + 5cos(10x)

B) dy/dx = 12e^4x

C) dy/dx = 0.5x + 6x^2

Answer 1

Explanation:

`A) \ y=\int\ ({0.5sin3x+5cos10x}) \, dx=0.5sin10x-(1)/(6)cos3x+C;`

`B) \ y=\int\ {12e^(4x)} \, dx=3e^(4x)+C;`

`C) \ y=\int\ {0.5x+6x^2} \, dx=0.25x^2+2x^3+C;`