What is the integral of ksqrt(t) ?

The integral of ksqrt(t) is k 2/3 t^{3/2}+C

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integral of ksqrt(t)

\int k t d t

k \frac{2}{3} t^{\frac{3}{2}} + C

Solution steps

\int k t d t

Take the constant out:

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

= k \cdot \int t d t

Apply the Power Rule

: \frac{2}{3} t^{\frac{3}{2}}

= k \frac{2}{3} t^{\frac{3}{2}}

Add a constant to the solution

= k \frac{2}{3} t^{\frac{3}{2}} + C

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

n = 0 \sum \infty - 6 (- \frac{1}{3})^{2 n}

f (x) = 2 x^{3} ln (x)

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

\int sin (3 x) sin (n x) d x