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Recent questions in Integral Calculus
Applications of integrals
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asked 2021-09-23

Integrals
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asked 2021-09-23

### Suppose that $$\displaystyle{f{{\left({x}\right)}}}={0},{125}{x}\ \text{ for }\ {0}{<}{x}{<}{4}$$. Determine the mean and variance of X.

Applications of integrals
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asked 2021-09-22

### Find the exact length of the curve. Use a graph to determine the parameter interval. $$\displaystyle{r}={{\cos}^{{2}}{\left(\frac{\theta}{{2}}\right)}}$$

Applications of integrals
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asked 2021-09-21

Integrals
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asked 2021-09-21

### Calculate the double integral. $$\displaystyle\int\int_{{R}}{\frac{{{4}{x}}}{{{1}+{x}{y}}}}{d}{A}$$ $$\displaystyle{R}={\left[{0},{4}\right]}\times{\left[{0},{1}\right]}$$

Differential equations
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asked 2021-09-20

### Compute $$\displaystyle\triangle{y}$$ and dy for the given values of x and $$\displaystyle{\left.{d}{x}\right.}=\triangle{x}$$ $$\displaystyle{y}={x}^{{2}}-{4}{x},{x}={3},\triangle{x}={0},{5}$$ $$\displaystyle\triangle{y}=???$$ dy=?

Differential equations
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asked 2021-09-19

### Find an equation of the tangent line to the curve at the given point (9, 3) $$\displaystyle{y}={\frac{{{1}}}{{\sqrt{{{x}}}}}}$$

Applications of integrals
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asked 2021-09-18

### Find the indefinite integral $$\displaystyle\int{\left({4}{x}^{{{5}}}-{6}\sqrt{{{x}}}+{2}{\cos{{x}}}-{4}\right)}{\left.{d}{x}\right.}$$

Applications of integrals
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asked 2021-09-18

### Determine the following definite integrals: $$\displaystyle{\int_{{-{5}}}^{{{0}}}}{\left({1}+\sqrt{{{25}-{x}^{{{2}}}}}\right)}{\left.{d}{x}\right.}$$

Applications of integrals
ANSWERED
asked 2021-09-18

### Find the length of the curve. $$\displaystyle{r}{\left({t}\right)}={<}{2}{t},{t}^{{2}},{\frac{{{1}}}{{{3}}}}{t}^{{3}}{>}$$ $$\displaystyle{0}\leq{t}\leq{1}$$

Applications of integrals
ANSWERED
asked 2021-09-17

### Compute the volume to $$\displaystyle{z}={y}^{{{2}}},{z}={1},{2}{x}+{z}={4},{x}={0}$$

Differential equations
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asked 2021-09-17

Integrals
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asked 2021-09-17

### Evaluate the line integral, where C is the given curve $$\displaystyle\int_{{C}}{\left({\frac{{{x}}}{{{y}}}}\right)}{d}{s},{C}:{x}={t}^{{3}},{y}={t}^{{4}},{1}\leq{t}\leq{4}$$

Applications of integrals
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asked 2021-09-16

### Evaluate the integral. $$\displaystyle\int{\frac{{{2}^{{{x}}}}}{{{2}^{{{x}}}+{1}}}}{\left.{d}{x}\right.}$$

Applications of integrals
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asked 2021-09-16

### For each of the following improper integrals, note Why it is omproper, and then set up the limit(s) that would be used to evaluate the integral. $$\displaystyle{\int_{{-\infty}}^{{{4}}}}{\frac{{{3}}}{{{x}+{2}}}}{\left.{d}{x}\right.}$$

Applications of integrals
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asked 2021-09-16

Decimals
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asked 2021-09-16

Integrals
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asked 2021-09-16

### Evaluate the line integral, where C is the given curve C xy ds C: $$\displaystyle{x}={t}^{{2}},{y}={2}{t},{0}\leq{t}\leq{5}$$

Differential equations
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asked 2021-09-15

### Solve the differential equation by variation of parameters $$\displaystyle{y}\text{}{y}={\sin{{x}}}$$

Another complex part of Calculus and Analysis includes integral calculus help, which is a more advanced subject that requires complex calculation and advanced training. As you can see from the list of questions, it includes anything from equations to analytical tasks where one must determine certain functions and come up with relevant solutions.

Take your time to see how the answers below have been formed and use the solutions as the templates for your integral calculus problems.

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