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Popular >

integral of t^2-5t+4

Solution

\int t^{2} - 5 t + 4 d t

Solution

\frac{t ^{3}}{3} - \frac{5 t ^{2}}{2} + 4 t + C

Solution steps

\int t^{2} - 5 t + 4 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^{2} d t - \int 5 t d t + \int 4 d t

\int t^{2} d t = \frac{t ^{3}}{3}

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

\int 4 d t = 4 t

= \frac{t ^{3}}{3} - \frac{5 t ^{2}}{2} + 4 t

Add a constant to the solution

= \frac{t ^{3}}{3} - \frac{5 t ^{2}}{2} + 4 t + C

Popular Examples

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

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

tangent of f(x)=-5x^2-3x,\at x=-3 tangent of

f (x) = - 5 x^{2} - 3 x, at x = - 3

derivative of (3x+1/(x^{2/3)})

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

integral of e^{(-1)/x}

\int e^{\frac{- 1}{x}} d x

derivative of 10*2^{-0.274x}derivative of

10 \cdot 2^{- 0.274 x}

Frequently Asked Questions (FAQ)

What is the integral of t^2-5t+4 ?
The integral of t^2-5t+4 is (t^3)/3-(5t^2)/2+4t+C