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Popular >

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

Solution

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

Solution

14

Solution steps

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

\int_{1}^{2} 3 x^{2} d x = 7

\int_{1}^{2} 4 x d x = 6

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

= 7 + 6 + 1

Simplify

= 14

Popular Examples

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

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\int_{5}^{8} f (4 x^{3} + 1) x^{2} d x

integral from-1 to 2 of y^2-y-2

\int_{- 1}^{2} y^{2} - y - 2 d y

integral from-1 to 1 of 3x^4

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

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

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

Frequently Asked Questions (FAQ)

What is the integral from 1 to 2 of 3x^2+4x+1 ?
The integral from 1 to 2 of 3x^2+4x+1 is 14