What is the integral from 0 to 20 of 2t ?

The integral from 0 to 20 of 2t is 400

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integral from 0 to 20 of 2t

\int_{0}^{20} 2 t d t

400

Solution steps

\int_{0}^{20} 2 t d t

Take the constant out:

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

= 2 \cdot \int_{0}^{20} t d t

Apply the Power Rule

: [\frac{t ^{2}}{2}]_{0}^{20}

= 2 [\frac{t ^{2}}{2}]_{0}^{20}

Compute the boundaries:

200

= 2 \cdot 200

Simplify

= 400

3 y^{^{''}} + 6 y^{^{'}} + 2 y = 0

\int_{1}^{e} \frac{ln ( x )}{x ^{3}} d x

f (θ) = 3 tan (θ)

x \to + (- 3) lim (5)

\frac{d}{d x} (ln (sin (\frac{x}{2})))

What is the integral from 0 to 20 of 2t ?
The integral from 0 to 20 of 2t is 400