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Popular >

integral of (3xz^2+2)

Solution

\int (3 x z^{2} + 2) d z

Solution

2 z + x z^{3} + C

Solution steps

\int 3 x z^{2} + 2 d z

Apply the Sum Rule:

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

= \int 2 d z + \int 3 x z^{2} d z

\int 2 d z = 2 z

\int 3 x z^{2} d z = x z^{3}

= 2 z + x z^{3}

Add a constant to the solution

= 2 z + x z^{3} + C

Popular Examples

(\partial)/(\partial x)(-3y^2)

\frac{\partial}{\partial x} (- 3 y^{2})

derivative of log_{10}((x^2-1/x))

\frac{d}{d x} (lo g_{10} (\frac{x ^{2} - 1}{x}))

integral of (ln(x))(sin(x))

\int (ln (x)) (sin (x)) d x

(dr)/(dθ)cot(θ)-r=2

\frac{d r}{d θ} cot (θ) - r = 2

tangent of f(x)=x^2-8,(-4,8)tangent of

f (x) = x^{2} - 8, (- 4, 8)

Frequently Asked Questions (FAQ)

What is the integral of (3xz^2+2) ?
The integral of (3xz^2+2) is 2z+xz^3+C