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Popular >

integral of (5x+1)

Solution

\int (5 x + 1) d x

Solution

\frac{5 x ^{2}}{2} + x + C

Solution steps

\int 5 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 5 x d x + \int 1 d x

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

\int 1 d x = x

= \frac{5 x ^{2}}{2} + x

Add a constant to the solution

= \frac{5 x ^{2}}{2} + x + C

Popular Examples

integral of 5e^{-5t}

\int 5 e^{- 5 t} d t

integral of (cos^3(t))/(sin(t))

\int \frac{cos ^{3} ( t )}{sin ( t )} d t

integral of sqrt(x)(3x+1)

\int x (3 x + 1) d x

integral of xsin(1/7)x

\int x sin (\frac{1}{7}) x d x

integral of t^{1/2}ln(t)

\int t^{\frac{1}{2}} ln (t) d t

Frequently Asked Questions (FAQ)

What is the integral of (5x+1) ?
The integral of (5x+1) is (5x^2)/2+x+C