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Popular >

integral of 20-t/5

Solution

\int 20 - \frac{t}{5} d t

Solution

20 t - \frac{t ^{2}}{10} + C

Solution steps

\int 20 - \frac{t}{5} d t

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 20 d t - \int \frac{t}{5} d t

\int 20 d t = 20 t

\int \frac{t}{5} d t = \frac{t ^{2}}{10}

= 20 t - \frac{t ^{2}}{10}

Add a constant to the solution

= 20 t - \frac{t ^{2}}{10} + C

Popular Examples

integral of t^{7/2}(t^2-10t+17)

\int t^{\frac{7}{2}} (t^{2} - 10 t + 17) d t

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\int \frac{sec ^{2} ( x )}{1 - tan ( x )} d x

integral of te^{1/4 ln(t)}

\int t e^{\frac{1}{4} l n (t)} d t

integral of-6x^4e^{8x^5}

\int - 6 x^{4} e^{8 x^{5}} d x

integral of ln(6sqrt(x))

\int ln (6 x) d x

Frequently Asked Questions (FAQ)

What is the integral of 20-t/5 ?
The integral of 20-t/5 is 20t-(t^2)/(10)+C