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Popular >

integral of 3ye^3z

Solution

\int 3 y e^{3} z d z

Solution

\frac{3 e ^{3} y z ^{2}}{2} + C

Solution steps

\int 3 y e^{3} z d z

Take the constant out:

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

= 3 y e^{3} \cdot \int z d z

Apply the Power Rule

: \frac{z ^{2}}{2}

= 3 y e^{3} \frac{z ^{2}}{2}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{3 e ^{3} y z ^{2}}{2}

Add a constant to the solution

= \frac{3 e ^{3} y z ^{2}}{2} + C

Popular Examples

integral of e^{-3t}t

\int e^{- 3 t} t d t

integral of cos(θ/9)cos(θ/4)

\int cos (\frac{θ}{9}) cos (\frac{θ}{4}) d θ

integral of (x^8+1)/(2x^4)

\int \frac{x ^{8} + 1}{2 x ^{4}} d x

integral of (19x)/(sqrt(2x^2+6))

\int \frac{19 x}{2 x ^{2} + 6} d x

integral of ((x^3-4+x))/(x-2)

\int \frac{( x ^{3} - 4 + x )}{x - 2} d x

Frequently Asked Questions (FAQ)

What is the integral of 3ye^3z ?
The integral of 3ye^3z is (3e^3yz^2)/2+C