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Popular >

integral of 10x+3

Solution

\int 10 x + 3 d x

Solution

5 x^{2} + 3 x + C

Solution steps

\int 10 x + 3 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 10 x d x + \int 3 d x

\int 10 x d x = 5 x^{2}

\int 3 d x = 3 x

= 5 x^{2} + 3 x

Add a constant to the solution

= 5 x^{2} + 3 x + C

Graph

Popular Examples

integral of (6x)/((9+x^2)^3)

\int \frac{6 x}{( 9 + x ^{2} ) ^{3}} d x

integral of sqrt(8x+5)

\int 8 x + 5 d x

integral of x/2 sqrt(5x+1)

\int \frac{x}{2} 5 x + 1 d x

integral of 1/(4^2+x^2)

\int \frac{1}{4 ^{2} + x ^{2}} d x

integral of 1/(x(36+ln^2(x)))

\int \frac{1}{x ( 36 + ln ^{2} ( x ) )} d x

Frequently Asked Questions (FAQ)

What is the integral of 10x+3 ?
The integral of 10x+3 is 5x^2+3x+C