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Popular >

integral of tk

Solution

\int t k d t

Solution

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

Solution steps

\int t k 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{t ^{2}}{2}

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

Multiply fractions:

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

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

Add a constant to the solution

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

Popular Examples

integral from 0 to 1 of x-1

\int_{0}^{1} x - 1 d x

derivative of 8/(sqrt(x))derivative of

\frac{8}{x}

integral of (x^5+4)^{12}x^4

\int (x^{5} + 4)^{12} x^{4} d x

integral of (x^2+1)/((x-2)^3)

\int \frac{x ^{2} + 1}{( x - 2 ) ^{3}} d x

integral of (x+2)/(x^2)

\int \frac{x + 2}{x ^{2}} d x

Frequently Asked Questions (FAQ)

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