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Popular >

integral of sin(x)-4

Solution

\int sin (x) - 4 d x

Solution

- cos (x) - 4 x + C

Solution steps

\int sin (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 sin (x) d x - \int 4 d x

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

\int 4 d x = 4 x

= - cos (x) - 4 x

Add a constant to the solution

= - cos (x) - 4 x + C

Popular Examples

integral of (xe^{-x/2})/4

\int \frac{x e ^{- \frac{x}{2}}}{4} d x

integral of 8cot(x)

\int 8 cot (x) d x

integral of 1/(sqrt(81-9x^2))

\int \frac{1}{81 - 9 x ^{2}} d x

integral of (x+y)sin(x+y)

\int (x + y) sin (x + y) d y

integral of (sin(2x))/(sqrt(5-cos^4(x)))

\int \frac{sin ( 2 x )}{5 - cos ^{4} ( x )} d x

Frequently Asked Questions (FAQ)

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