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Popular >

integral of (2t)

Solution

\int (2 t) d t

Solution

t^{2} + C

Solution steps

\int 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 t d t

Apply the Power Rule

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

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

Simplify

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

= t^{2}

Add a constant to the solution

= t^{2} + C

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\int 5 x e^{0.5 x^{2}} d x

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\int - 9 cos (t) d t

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\int \frac{cos ( x )}{5 sin ( x ) + 25} d x

integral of sin(22t)sec^2(cos(22t))

\int sin (22 t) sec^{2} (cos (22 t)) d t

Frequently Asked Questions (FAQ)

What is the integral of (2t) ?
The integral of (2t) is t^2+C