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

asked Jan 23, 2023 170k views

12 votes

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

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Explanation:

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

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

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

Shivam Singla answered Jan 29, 2023

3.6k points

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