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Popular >

integral from 0 to 2 of (kx+1)

Solution

\int_{0}^{2} (k x + 1) d x

Solution

k \cdot 2 + 2

Solution steps

\int_{0}^{2} k 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_{0}^{2} k x d x + \int_{0}^{2} 1 d x

\int_{0}^{2} k x d x = k \cdot 2

\int_{0}^{2} 1 d x = 2

= k \cdot 2 + 2

Popular Examples

integral from 0 to 3 of x^3+2

\int_{0}^{3} x^{3} + 2 d x

integral from 0 to 3 of 1+sqrt(9-x^2)

\int_{0}^{3} 1 + 9 - x^{2} d x

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

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

integral from 0 to 8 of 3x^2-36x+105

\int_{0}^{8} 3 x^{2} - 36 x + 105 d x

integral from 0 to pi/6 of cos(3A)

\int_{0}^{\frac{π}{6}} cos (3 A)

Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of (kx+1) ?
The integral from 0 to 2 of (kx+1) is k*2+2