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Popular >

integral of t^2+t-2

Solution

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

Solution

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

Solution steps

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

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

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

\int 2 d t = 2 t

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

Add a constant to the solution

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

Popular Examples

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\int x \cdot e^{- 2} d x

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\int x^{2} sinh (2 x^{3}) d x

integral of x^3sqrt(a+bx^4)

\int x^{3} a + b x^{4} d x

Frequently Asked Questions (FAQ)

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