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Popular >

integral of (1+3x)

Solution

\int (1 + 3 x) d x

Solution

x + \frac{3 x ^{2}}{2} + C

Solution steps

\int 1 + 3 x 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 d x + \int 3 x d x

\int 1 d x = x

\int 3 x d x = \frac{3 x ^{2}}{2}

= x + \frac{3 x ^{2}}{2}

Add a constant to the solution

= x + \frac{3 x ^{2}}{2} + C

Popular Examples

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\int (4 x^{2} - 5)^{\frac{1}{2}} d x

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\int \frac{1}{1 + 49 x ^{2}} d x

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\int (sin (\frac{π}{3} - x))^{- 2} d x

integral of x^2(1+x^3)^5

\int x^{2} (1 + x^{3})^{5} d x

Frequently Asked Questions (FAQ)

What is the integral of (1+3x) ?
The integral of (1+3x) is x+(3x^2)/2+C