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Popular >

integral of at

Solution

\int a t d t

Solution

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

Solution steps

\int a t d t

Take the constant out:

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

= a \cdot \int t d t

Apply the Power Rule

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

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

Multiply fractions:

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

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

Add a constant to the solution

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

Graph

Popular Examples

integral of (x*arctan(x))

\int (x \cdot arctan (x)) d x

integral of x^2+3x+5

\int x^{2} + 3 x + 5 d x

integral of (21x^2)/(4(x^3+5)^{5/4)}

\int \frac{21 x ^{2}}{4 ( x ^{3} + 5 ) ^{\frac{5}{4}}} d x

integral of (6x-2)

\int (6 x - 2) d x

integral of (sin(x))^4(cos(x))^3

\int (sin (x))^{4} (cos (x))^{3} d x

Frequently Asked Questions (FAQ)

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