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Popular >

integral of 3t+2

Solution

\int 3 t + 2 d t

Solution

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

Solution steps

\int 3 t + 2 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 2 d t

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

\int 2 d t = 2 t

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

Add a constant to the solution

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

Popular Examples

tangent of f(x)=(x^3)/3-3/(x^3),\at x=-1 tangent of

f (x) = \frac{x ^{3}}{3} - \frac{3}{x ^{3}}, at x = - 1

derivative of f(x)=((2x)/7+1)derivative of

f (x) = (\frac{2 x}{7} + 1)

integral of x^2sin^2(x)

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

limit as x approaches 2-of x+1

x \to 2 - lim (x + 1)

derivative of arccot(u)derivative of

arccot (u)

Frequently Asked Questions (FAQ)

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