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Popular >

integral from 1 to 3 of (4x^3+2)

Solution

\int_{1}^{3} (4 x^{3} + 2) d x

Solution

84

Solution steps

\int_{1}^{3} 4 x^{3} + 2 d x

Apply the Sum Rule:

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

= \int_{1}^{3} 4 x^{3} d x + \int_{1}^{3} 2 d x

\int_{1}^{3} 4 x^{3} d x = 80

\int_{1}^{3} 2 d x = 4

= 80 + 4

Simplify

= 84

Popular Examples

integral of 1/((2-5x)^2)

\int \frac{1}{( 2 - 5 x ) ^{2}} d x

inverse oflaplace (s+2)/(s^2+4)inverse laplace

\frac{s + 2}{s ^{2} + 4}

tangent of f(x)=(3x)/(x-2),(4,6)tangent of

f (x) = \frac{3 x}{x - 2}, (4, 6)

derivative of 4/(r^3)derivative of

\frac{4}{r ^{3}}

integral of (2x+3)/(x^2-5x+4)

\int \frac{2 x + 3}{x ^{2} - 5 x + 4} d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 3 of (4x^3+2) ?
The integral from 1 to 3 of (4x^3+2) is 84