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Popular >

integral of 8x+1

Solution

\int 8 x + 1 d x

Solution

4 x^{2} + x + C

Solution steps

\int 8 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

= \int 8 x d x + \int 1 d x

\int 8 x d x = 4 x^{2}

\int 1 d x = x

= 4 x^{2} + x

Add a constant to the solution

= 4 x^{2} + x + C

Popular Examples

integral of sec(t)(4sec(t)+9tan(t))

\int sec (t) (4 sec (t) + 9 tan (t)) d t

integral of cot^2(x)-1

\int cot^{2} (x) - 1 d x

integral of cos^7(x)sin(2x)

\int cos^{7} (x) sin (2 x) d x

integral of (2x+3)/(sqrt(4x^2-4x+5))

\int \frac{2 x + 3}{4 x ^{2} - 4 x + 5} d x

integral of 5/(x(-1+ln(-2x))^3)

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

Frequently Asked Questions (FAQ)

What is the integral of 8x+1 ?
The integral of 8x+1 is 4x^2+x+C