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Popular >

integral of t+8

Solution

\int t + 8 d t

Solution

\frac{t ^{2}}{2} + 8 t + C

Solution steps

\int t + 8 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 t d t + \int 8 d t

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

\int 8 d t = 8 t

= \frac{t ^{2}}{2} + 8 t

Add a constant to the solution

= \frac{t ^{2}}{2} + 8 t + C

Popular Examples

integral of x^3+x^2

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

derivative of 4-sqrt(x^2+y^2)

\frac{d}{d x} (4 - x^{2} + y^{2})

integral of ((12x^4+3x^2+6ax)/(2x))

\int (\frac{12 x ^{4} + 3 x ^{2} + 6 a x}{2 x}) d x

limit as x approaches 3+of 7/(x-3)

x \to 3 + lim (\frac{7}{x - 3})

integral of (2x+4)/(x^2)

\int \frac{2 x + 4}{x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral of t+8 ?
The integral of t+8 is (t^2)/2+8t+C