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Popular >

integral of cos(x)-4

Solution

\int cos (x) - 4 d x

Solution

sin (x) - 4 x + C

Solution steps

\int cos (x) - 4 d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int cos (x) d x - \int 4 d x

\int cos (x) d x = sin (x)

\int 4 d x = 4 x

= sin (x) - 4 x

Add a constant to the solution

= sin (x) - 4 x + C

Graph

Popular Examples

integral of (2x)/(sqrt(x^2+8))

\int \frac{2 x}{x ^{2} + 8} d x

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\int (ln (x) + \frac{1}{x}) e^{x} d x

integral of sqrt(x^{15)}

\int x^{15} d x

integral of (x^2)/(sqrt(x^2+2x-3))

\int \frac{x ^{2}}{x ^{2} + 2 x - 3} d x

integral of ln(t^2)

\int ln (t^{2}) d t

Frequently Asked Questions (FAQ)

What is the integral of cos(x)-4 ?
The integral of cos(x)-4 is sin(x)-4x+C