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Popular >

integral from 1 to 2 of (4x^3-5)

Solution

\int_{1}^{2} (4 x^{3} - 5) d x

Solution

10

Solution steps

\int_{1}^{2} 4 x^{3} - 5 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}^{2} 4 x^{3} d x - \int_{1}^{2} 5 d x

\int_{1}^{2} 4 x^{3} d x = 15

\int_{1}^{2} 5 d x = 5

= 15 - 5

Simplify

= 10

Graph

Popular Examples

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\int_{0}^{2 π} 4 cos (θ) d θ

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\int_{0}^{π} 3 sin (θ) d θ

integral from 0 to x^5 of sin(t^2)

\int_{0}^{x^{5}} sin (t^{2}) d t

integral from 1/2 to 3/2 of 5xcos(pix)

\int_{\frac{1}{2}}^{\frac{3}{2}} 5 x cos (π x) d x

integral from 0 to pi/4 of 3cos^2(x)

\int_{0}^{\frac{π}{4}} 3 cos^{2} (x) d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 2 of (4x^3-5) ?
The integral from 1 to 2 of (4x^3-5) is 10