Solve Integral Calculus Problems with Ease

College
Calculus and Analysis
Integral Calculus

Designer functions Design a sine function with the given properties.
It has a period of 12 hr with a minimum value of $- 4$ at $t = 0$ hr and a maximum value of 4 at $t = 6$ hr.

Chardonnay Felix 2021-10-26

Determine whether the improper integral diverges or converges. Evaluate the integral if it converges.
$\int_{0}^{\infty} e^{\frac{x}{3}} d x$

Emeli Hagan 2021-10-26

Evaluate the integral.
$\int_{- 2}^{5} \frac{2 x + 4}{2 x^{2} + 21 x + 34}$

ediculeN 2021-10-25

Let $L : V \to W$ be a linear transformation. Explain the meaning of the following statement: The action of the linear transformation L is completely determined by its action on a basis for V.

sodni3 2021-10-25

Evaluate the integrals.
$\int_{0}^{1} x \cdot 2^{x^{2} + 1} d x$

boitshupoO 2021-10-25

Analyze $f x (x) = 4 \sin (3 x - 6) - 2$ using our “trig language” (amplitude, period, etc.) and relate each trig feature to the transformational analysis we’ve done throughout the semester. In other words, state both a transformation, such as shifted left 118 units, and the corresponding “trig language,” phase shift of 118 units left. Be sure to include all transformations and trig features.

lwfrgin 2021-10-25

Solve the integral.
$\int \frac{\sec^{2} x e^{\tan x} d x}{\sqrt{1 = e^{\tan x}}}$

Caelan 2021-10-25

Find the indefinite integral.
$\int \frac{x^{2} - 3 x + 2}{x + 1} d x$

Brennan Flores 2021-10-25

Evaluate the integral.
$\int_{0}^{1} \int_{0}^{π} \int_{0}^{π} y \cdot \cos (z) d x d y d z$

Burhan Hopper 2021-10-25

Let R be the rectangle consisting of all points (x, y), such that $0 \leq x \leq 4, 1 \leq y \leq 3$ , and calculate the double integral.
$\int_{R} \int (2 x + 3 y) d x d y$

permaneceerc 2021-10-25

Write the integral as a sum of integrals without absolute values and evaluate.
$\int_{- 2}^{1} | x | d x$

abondantQ 2021-10-25

Calculate the integral.
$\int \frac{\cos h x}{\sin h x} d x$

ediculeN 2021-10-25

Evaluate the following integral.
$\int_{0}^{2} \int_{x^{2}}^{2 x} x y d y d x$

Anish Buchanan 2021-10-25

Evaluate the following integral.
$\int x^{3} \sqrt{x^{2} + 4}$

shadsiei 2021-10-25

Find the trigonometric integral $\int \sin x \cdot \cos^{4} x d x$

Rui Baldwin 2021-10-25

Find the volume of the given solid Bounded by the coordinate planes and the plane 3x+2y+z=6

Mylo O'Moore 2021-10-25

A flat, square surface with side length 3.40 cm is in the xy-plane at z = 0. Calculate the magnitude of the flux through this surface produced by a magnetic field $\vec{B} = (0.200 T) \hat{i} + (0.300 T) \hat{j} - (0.500 T) \hat{k}$

Sinead Mcgee 2021-10-25

Evaluate the integrals.
$\int_{1}^{e} \frac{d x}{x + \ln x}}$

chillywilly12a 2021-10-24

Evaluate the integrals.
$\int_{1}^{4} (\frac{\sqrt{v} + v}{v}) d v$

he298c 2021-10-24

Evaluate the integrals.
$\int_{- 5}^{5} \frac{w^{3}}{\sqrt{w^{50} + w^{20} + 1}}$

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Integral Calculus

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