Sample Calculus Problems: Get College Ready!

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Calculus and Analysis

Recent questions in Calculus and Analysis

nitraiddQ 2021-10-12

Use the given substitution to evaluate the integral.
$\int \sec^{2} (20) \tan (20) d 0, u = \tan (20)$

Caelan 2021-10-12

Evaluate the following integral.
$\int \frac{\sec^{2} x}{\tan^{5} x} d x$

Nannie Mack 2021-10-12

If f is continuous and integral 0 to 9 f(x)dx=4, find integral 0 to 3 $x f (x^{2}) d x$ .

Globokim8 2021-10-12

Evaluate the following integrals.
$\int \frac{d x}{e^{x} \sqrt{1 - e^{2 x}}}$

beljuA 2021-10-12

Evaluate the integrals
$\int_{0}^{\frac{π}{4}} \frac{\sec^{2} x}{{(1 + 7 \tan x)}^{\frac{2}{3}}}$

Rui Baldwin 2021-10-12

Evaluate the integrals:
$\int x^{3} \sqrt{49 - x^{2}} d x$

ringearV 2021-10-12

Find the derivatives of the functions $y = \sqrt{x} {\csc (x + 1)}^{3}$

Chesley 2021-10-12

Use the rules for derivatives to find the derivative of each function defined as follows.
$y = x \sqrt{x} + \frac{3}{x^{2} \sqrt{x}}$

When a particle is a distance r from the origin, its potential energy function is given by the equation U(r)=kr, where k is a constant and $r = x^{2} + y^{2} + z^{2}$

(a) What are the SI units of k?

(b) Find a mathematical expression in terms of x, y, and z for the y component of the force on the particle.

(c) If U=3.00 J when the particle is 2.00 m from the origin, find the numerical value of the y component of the force on this particle when it is at the point (-1.00 m, 2.00 m, 3.00 m).

zi2lalZ 2021-10-11

Derivatives Find the derivative of the following functions. $y = \ln 2 x^{8}$

permaneceerc 2021-10-11

Find derivatives of the function defined as follows.
$y = - 4 e^{- 0.3 x}$

melodykap 2021-10-11

Find the derivatives of the functions defined as. $y = \cos^{4} x$

jernplate8 2021-10-11

Find the derivatives of the following
$\frac{\sin (a x + b)}{\cos (c x + d)}$

abondantQ 2021-10-11

Derivatives Find the derivative of the following functions. $y = \ln 7 x$

sibuzwaW 2021-10-11

Derivatives involving other trigonometric functions Find the derivative of the following functions.
$y = \sec x \tan x$

CheemnCatelvew 2021-10-11

Evaluate the following
$\int_{0}^{1} \frac{x^{3} d x}{{(1 + x^{2})}^{3}}$

SchachtN 2021-10-11

Calculating derivatives Find dy>dx for the following functions.
$y = \frac{1 - \sin x}{1 + \sin x}$

Amari Flowers 2021-10-11

Given that $\int_{4}^{9} f (x) d x = 6$ and $\int_{9}^{k} f (x) d x = - 9$ , find $\int_{k}^{4} f (x) d x$ .

Trent Carpenter 2021-10-11

Evaluate the integral.
$\int_{0}^{2} x \sqrt{x^{2} + 1} d x$

floymdiT 2021-10-11

Evaluate the following integrals.
$\int_{0}^{1} 2 x \tan^{- 1} (x^{2}) d x$

College calculus is one of the most frequent subjects that you may encounter. There are certain equations that will sound cryptic as you are looking for answers. The majority of college calculus problems will look odd only because they are not applied to a real-life situation. Take a look at your questions and compare them with the answers that we have presented for you. By doing so, you will approach college-level calculus differently as we have amazing online college calculus samples. If things still seem challenging to you, our college calculus help below will provide you with more understanding.

Calculus and Analysis

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