Integral Calculus Answers

Integrate with respect to x: ∫ 3e^x dx

a. e^x+c

b. 3x+c

c. 3e^x+c

d. 3e^x

Integrate with respect to x: ∫ x^6 dx

a. x^7/7+c

b. x^6/7+c

c. x^5/5+c

d. x^2/2+c

integral of (9+4*x^(-2/3))^(1/2)

integrate [x]+[x^2] from 0 to 1.5

-1/modulusx-2 >_1

The table below gives the depth of water across a river measured at one metre
intervals between banks.
Distance (m) 0 1 2 3 4
Water depth (m) 0 0.5 1.6 0.9 0
Use the Trapezium rule to estimate the cross-sectional area of the river.
A river hydrologist estimates that at the place where this cross sectional data was
measured the average speed of water flow is 0.6m/s. Estimate the volume of water
which passes this section of the river in one minute.

find the area bounded by y=Inx,y=0 and x=e

find the area bounded by y=x^3+3x^2 and y=2x^2+4x

evaluate the intergration of (2-5X-x2)dx over (x^2-x-6)(x+2)