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Popular >

integral of 5(2x+1)

Solution

\int 5 (2 x + 1) d x

Solution

5 (x^{2} + x) + C

Solution steps

\int 5 (2 x + 1) d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 5 \cdot \int 2 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

= 5 (\int 2 x d x + \int 1 d x)

\int 2 x d x = x^{2}

\int 1 d x = x

= 5 (x^{2} + x)

Add a constant to the solution

= 5 (x^{2} + x) + C

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\int 18 sin (3 x) d x

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\int \frac{cos ( 2 x )}{2 x} d x

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\int x^{6} - x^{3} d x

integral of (2x+3)/(sqrt(2-3x^2))

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

Frequently Asked Questions (FAQ)

What is the integral of 5(2x+1) ?
The integral of 5(2x+1) is 5(x^2+x)+C