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Popular Calculus >

integral of 3t+4

Solution

integral

3 t + 4

Solution

\frac{3 t ^{2}}{2} + 4 t + C

Solution steps

\int 3 t + 4 d t

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 t d t + \int 4 d t

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

\int 4 d t = 4 t

= \frac{3 t ^{2}}{2} + 4 t

Add a constant to the solution

= \frac{3 t ^{2}}{2} + 4 t + C

Graph

Popular Examples

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

in t e g r a l \frac{x ^{2}}{( x + 1 )}

integral of 1/((x-2))

in t e g r a l \frac{1}{( x - 2 )}

integral of (t^2)/((1-t^2))

in t e g r a l \frac{t ^{2}}{( 1 - t ^{2} )}

integral of 1/((a-x))

in t e g r a l \frac{1}{( a - x )}

integral of 8/((x^3-16x))

in t e g r a l \frac{8}{( x ^{3} - 16 x )}

Frequently Asked Questions (FAQ)

What is the integral of 3t+4 ?
The integral of 3t+4 is (3t^2)/2+4t+C