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Popular >

integral from 2 to 4 of 4t^3+4t

Solution

\int_{2}^{4} 4 t^{3} + 4 t d t

Solution

264

Solution steps

\int_{2}^{4} 4 t^{3} + 4 t 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_{2}^{4} 4 t^{3} d t + \int_{2}^{4} 4 t d t

\int_{2}^{4} 4 t^{3} d t = 240

\int_{2}^{4} 4 t d t = 24

= 240 + 24

Simplify

= 264

Popular Examples

integral from-3 to 1 of x^3+3x^2-x+1

\int_{- 3}^{1} x^{3} + 3 x^{2} - x + 1 d x

integral from 0 to pi of x^2*sin(3x)

\int_{0}^{π} x^{2} \cdot sin (3 x) d x

integral from-1 to 2 of 4x

\int_{- 1}^{2} 4 x d x

integral from 1 to 2 of 1+xe^x

\int_{1}^{2} 1 + x e^{x} d x

integral from-1 to 1 of (2-2x^2)

\int_{- 1}^{1} (2 - 2 x^{2}) d x

Frequently Asked Questions (FAQ)

What is the integral from 2 to 4 of 4t^3+4t ?
The integral from 2 to 4 of 4t^3+4t is 264