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Popular >

integral of (3x+7)

Solution

\int (3 x + 7) d x

Solution

\frac{3 x ^{2}}{2} + 7 x + C

Solution steps

\int 3 x + 7 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 3 x d x + \int 7 d x

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

\int 7 d x = 7 x

= \frac{3 x ^{2}}{2} + 7 x

Add a constant to the solution

= \frac{3 x ^{2}}{2} + 7 x + C

Popular Examples

integral of 3sqrt(x^3)+7\sqrt[3]{x^2}

integral of (x^4-6)/(x^3-2x^2)

\int \frac{x ^{4} - 6}{x ^{3} - 2 x ^{2}} d x

integral of (x^a-x^{-a})^2

\int (x^{a} - x^{- a})^{2} d x

integral of (sqrt(1-x^2))/(1+x^2)

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

integral of x/(sqrt(25+3x))

\int \frac{x}{25 + 3 x} d x

Frequently Asked Questions (FAQ)

What is the integral of (3x+7) ?
The integral of (3x+7) is (3x^2)/2+7x+C