What is the integral of 4sin(θ) ?

The integral of 4sin(θ) is -4cos(θ)+C

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integral of 4sin(θ)

\int 4 sin (θ) d θ

- 4 cos (θ) + C

Solution steps

\int 4 sin (θ) d θ

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 4 \cdot \int sin (θ) d θ

Use the common integral:

\int sin (θ) d θ = - cos (θ)

= 4 (- cos (θ))

Simplify

= - 4 cos (θ)

Add a constant to the solution

= - 4 cos (θ) + C

x \to 1 lim (3 x^{3} - 4 x^{2} + x + 9)

x \to 1 - lim (x^{3} + 1)

f (x) = x^{2} + 5 x + 6

y^{2} y^{^{'}} + y^{3} = 1

\int x^{2} - 5 x + 7 d x