Many and more students who study any branch in mathematics face a lot of troubles. And calculus is one of these problems. Trying hard to learn all the formulas the students finish up with a huge number of calculus questions that cause many problems in the studying process. We have worked out our service system so that you could get the calculus answers any time you need them with a minimum waste of time. If you have nobody to help you with the calculus problems – we are at your disposal!

Find constants a and b in the function f(x)=axe^(bx)such that f(1/4)=1 and the function has a local maximum at x=1/4.

Maya is 2 km offshore in a boat and wishes to reach a coastal village which is 6 km down a straight
shoreline from the point on the shore nearest to the boat. She can row at 2 km/hr and run at 5
km/hr. Where should she land her boat to reach the village in the least amount of time?

Calculate the following line integral:
∫ C xy^3dx, where C is the unit circle x^2+y^2=1, oriented counterclockwise. Note: C is at the bottom right of the integral.

The magnitude of the acceleration of a particle which moves along the curve x=2 sinâ¡3t,y=2 cosâ¡3t and z=8t at any time t>0 is

Show that the base Area of Cylinder (Disc) = πR^2
(cylindrical coordinate system)

Show that the surface Area of Cylinder = 2πRH
(cylindrical coordinate system)

Evaluating Integrals
7.Integral of (3c^2x^2-d^4)^2 dx
8. Integral of (square root of 2x + 2x square root of x + 1/ square root of x) dx
9. Integral of t^3 + 2t^2- 3 / cube root of t

Evaluate The integrals.
5. Integral of t^2 + 3t + 1/t^2 dt
6. Integral of (2x^3-1)(1/ x^2 + 5)

Evaluate Integrals. Show complete solution.
3. Integral of 1/ 2u^2 minus 3u^3/2 minus 2u^5/ 3 du
4. Integral of 2t^6 + 5t^2 +7 / t^2 dt

Evaluate the following integrals. Show complete solution.
1. Integral of 3dy/ y raised to the fourth power
2. Integral of square root of x minus x/3 plus 2/ square root of x dx