Search results for integration

0 votes
1 answer
1
1.Evaluate the following definite integral $\int^{130}_{130}\frac{x^{3}-x\sin(x)+\cos(x)}{x^{^{2}}+1}dx$
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2
Determine the volume of the solid obtained by rotating the portion of the region bounded by $y=\sqrt[3]{x}$ and $y=\frac{x}{4}$ that lies in the first quadrant about the ...
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3
Depramine the area of region bounded by $y=2x^{2}+10$ and $y=4x+16$
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4
Differentiate each of the following. $g(x)=\int ^{x}_{-4}e^{2t}cos^{2}(1-5t)dt$
2 votes
1 answer
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1 votes
2 answers
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0 votes
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8
$\int_{0}^{1}\tan^{-1} (1-\frac{1}{x})$ d(x) find
1 votes
1 answer
9
Let $R$ be the triangle in the $xy$ – plane bounded by the $x$-axis, the line $y=x$, and the line $x=1$. The value of the double integral $$ \int \int_R \frac{\sin x}{x...
0 votes
1 answer
10
What is the difference between Integration and Summation?Which one produces a greater value in the same range?
5 votes
3 answers
11
Let $X =\frac{1}{1001}+\frac{1}{1002}+\frac{1}{1003}+\ldots+\frac{1}{3001}$. Then$X< 1$$X>\frac{3}{2}$$1< X< \frac{3}{2}$none of the above
0 votes
1 answer
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28 votes
4 answers
13
The value of $\int^{\pi/4} _0 x \cos(x^2) dx$ correct to three decimal places (assuming that $\pi = 3.14$) is ____
31 votes
5 answers
14
1 votes
3 answers
15
24 votes
3 answers
16
$\int^{\pi/4}_0 (1-\tan x)/(1+\tan x)\,dx $$0$$1$ $\ln 2$$1/2 \ln 2$
2 votes
3 answers
17
Solve the following $\int_{0}^{\infty}e^{-x^2}x^4dx$
18 votes
4 answers
19
What is the value of $\int_{0}^{2\pi}(x-\pi)^2 (\sin x) dx$$-1$$0$$1$$\pi$
31 votes
4 answers
20
The value of the integral given below is$$\int \limits_0^{\pi} \: x^2 \: \cos x\:dx$$$-2\pi$$\pi$$-\pi$$2\pi$