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Choose the correct answer.$\int \frac{e^{x}(1+x)}{\cos ^{2}\left(e^{x} x\right)} d x$ equals(A) $-\cot \left(e x^{x}\right)+C$(B) $\tan \left(x e^{x}\right)+\mathrm{C}$(C) $\tan \left(e^{x}\right)+\mathrm{C}$(D) $\cot \left(e^{x}\right)+\mathrm{C}$
Calculus 2 / BC
Chapter 7
Integrals
Section 3
Methods of Integration
Integration Techniques
Campbell University
University of Michigan - Ann Arbor
Boston College
Lectures
01:11
In mathematics, integratio…
06:55
In grammar, determiners ar…
01:47
Multiple Choice $\int \tan…
00:53
Multiple choice $\int x \c…
03:32
Verify the integration for…
01:59
Looking ahead: Integrals o…
02:51
Use a CAS to find an antid…
03:11
Find the indefinite integr…
00:57
Multiple Choice If $\int x…
00:59
04:37
If appropriate, evaluate t…
02:03
Which of the following is …
03:39
Different substitutions
03:44
Evaluate the integral in p…
03:21
Evaluate the integrals usi…
01:26
03:24
In each part, confirm that…
02:24
02:25
Which of the following int…
00:54
$\int \frac{d x}{9+x^{2}}=…
01:39
01:50
Find the most general anti…
we have all the number 24 in which we need to integrate. He is the body one minus six. Bye. Cause of Squire is the product into X and DX. And find the correct choice. So let us plug in. It is the power X and two X equal to Y. So if we differentiate first function into one plus second function into one D. X equal to Dy at stake is the part access common. So it will become one plus X. The acceptable to A D. Y. This whole thing will be equal to DY So we will be having Dy one by uh courses choir. Why? So this is take us quite a way take us quite a while. I do I So integration of six square. Why is 10 Y plus C. And why we have already taken as it is to the politics into X policy. So they should be the correct option and B is we should be dancing. Thank you so much.
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Multiple Choice $\int \tan x d x=$
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Multiple choice $\int x \csc ^{2} x d x=$(A) $\frac{x^{2} \csc ^{3} x}{6…
Verify the integration formulas.a. $\int \operatorname{sech} x \, d x=\t…
Looking ahead: Integrals of $\tan x$ and $\cot x$a. Use a change of vari…
Use a CAS to find an antiderivative, then verify the answer by computing a d…
Find the indefinite integral in two ways. Explain any difference in the form…
Multiple Choice If $\int x^{2} \cos x d x=h(x)-\int 2 x \sin x d x,$ then $h…
Find the indefinite integral.$$\int \csc ^{2} x e^{\cot x} d x$$
If appropriate, evaluate the following integrals by substitution. If substit…
Which of the following is $\int \ln x \, d x \, ?$(a) $\frac{1}{x}+C$
Different substitutionsa. Evaluate $\int \tan x \sec ^{2} x d x$ using t…
Evaluate the integral in part (a) and then use this result to evaluate the i…
Evaluate the integrals using the indicated substitutions.$$\begin{ar…
In each part, confirm that the stated formula is correct by differentiating.…
Which of the following integrals are improper? Why?$$\int_{0}^{\pi / 4} …
$\int \frac{d x}{9+x^{2}}=$(A) $3 \tan ^{-1}\left(\frac{x}{3}\right)+C$<…
Find the most general antiderivative or indefinite integral. You may need to…
03:03
Prove that the following functions do not have maxima or minima:(i) $f(x…
01:23
Prove that:$$2 \sin ^{2} \frac{3 \pi}{4}+2 \cos ^{2} \frac{\pi}{4}+2…
03:57
Find the point on the $x$ -axis which is equidistant from $(2,-5)$ and $(-2,…
07:44
Form the differential equation of the family of hyperbolas having foci on $x…
05:41
$$\begin{array}{l}\text { The diagonals of a quadrilateral ABCD inte…
01:29
Choose the correct answer.$\int \frac{d x}{\sin ^{2} x \cos ^{2} x}$ equ…
Find the integrals of the functions.$$\frac{\cos 2 x+2 \sin ^{2} x}{…
05:28
Prove the following:$$\cos ^{2} 2 x-\cos ^{2} 6 x=\sin 4 x \sin 8 x<…
At what points in the interval $[0,2 \pi]$, does the function $\sin 2 x$ att…
03:01
In Fig. $6.19, \mathrm{DE} \| \mathrm{AC}$ and $\mathrm{DF}$ II $\mathrm{AE}…