en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of tsqrt(t)

Solution

\int t t d t

Solution

\frac{2}{5} t^{\frac{5}{2}} + C

Solution steps

\int t t d t

Simplify

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

= \int t^{\frac{3}{2}} d t

Apply the Power Rule

: \frac{2}{5} t^{\frac{5}{2}}

= \frac{2}{5} t^{\frac{5}{2}}

Add a constant to the solution

= \frac{2}{5} t^{\frac{5}{2}} + C

Popular Examples

integral of (e^{-t})

\int (e^{- t}) d t

integral from 1/2 to 1 of (y+4)/(y^2+y)

\int_{\frac{1}{2}}^{1} \frac{y + 4}{y ^{2} + y} d y

derivative of y=0.7(1.02)^x derivative of

y = 0.7 (1.02)^{x}

derivative of f(x)=1-4x^2 derivative of

f (x) = 1 - 4 x^{2}

(dy)/(dx)=y(0.1-10^{-7}y)

\frac{d y}{d x} = y (0.1 - 1 0^{- 7} y)

Frequently Asked Questions (FAQ)

What is the integral of tsqrt(t) ?
The integral of tsqrt(t) is 2/5 t^{5/2}+C