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Popular >

integral of 3/4 t+6

Solution

\int \frac{3}{4} t + 6 d t

Solution

\frac{3 t ^{2}}{8} + 6 t + C

Solution steps

\int \frac{3}{4} t + 6 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 \frac{3}{4} t d t + \int 6 d t

\int \frac{3}{4} t d t = \frac{3 t ^{2}}{8}

\int 6 d t = 6 t

= \frac{3 t ^{2}}{8} + 6 t

Add a constant to the solution

= \frac{3 t ^{2}}{8} + 6 t + C

Popular Examples

limit as x approaches 3-of sqrt(9-x^2)

x \to 3 - lim (9 - x^{2})

tangent of f(x)=(x+2)/(x^2-9),\at x=1 tangent of

f (x) = \frac{x + 2}{x ^{2} - 9}, at x = 1

integral of sqrt(3x-12)

\int 3 x - 12 d x

derivative of 3/(2x+(4x)/5)

\frac{d}{d x} (\frac{3}{2 x} + \frac{4 x}{5})

derivative of y=(3x+4)/(sqrt(2x-1))derivative of

y = \frac{3 x + 4}{2 x - 1}

Frequently Asked Questions (FAQ)

What is the integral of 3/4 t+6 ?
The integral of 3/4 t+6 is (3t^2)/8+6t+C