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Popular Calculus >

integral of 17x

Solution

\int 17 x d x

Solution

\frac{17 x ^{2}}{2} + C

Solution steps

\int 17 x d x

Take the constant out:

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

= 17 \cdot \int x d x

Apply the Power Rule

= 17 \cdot \frac{x ^{2}}{2}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{17 x ^{2}}{2}

Add a constant to the solution

= \frac{17 x ^{2}}{2} + C

Graph

Popular Examples

integral of sin((pit)/3)

\int sin (\frac{π t}{3}) d t

integral of (x^3-6)/(x^4+6x^2+8)

\int \frac{x ^{3} - 6}{x ^{4} + 6 x ^{2} + 8} d x

integral of (1+y)/y

\int \frac{1 + y}{y} d y

integral of xsin(-5x)

\int x sin (- 5 x) d x

integral of 6^{2x}

\int 6^{2 x} d x

Frequently Asked Questions (FAQ)

What is the integral of 17x ?
The integral of 17x is (17x^2)/2+C