Solve Integral Calculus Problems with Ease

College
Calculus and Analysis
Integral Calculus

Evaluate the integrals
$\int_{1}^{4} \frac{{(1 + \sqrt{u})}^{\frac{1}{2}}}{\sqrt{u}} d u$

Jaya Legge 2021-10-10

Apply Green’s Theorem to evaluate the integral.
$\oint_{C} (6 y + x) d x + (y + 2 x) d y$
C: The circle
${(x - 2)}^{2} + {(y - 3)}^{2} = 4$

Annette Arroyo 2021-10-10

Evaluate the integrals
$\int_{- π}^{π} {(1 - \cos^{2} t)}^{\frac{3}{2}} d t$

OlmekinjP 2021-10-09

Use Property 8 to estimate the value of the integral. $\int_{- 1}^{1} \sqrt{1 + x^{4}} d x$

slaggingV 2021-10-09

Evaluate the following integrals in cylindrical coordinates. $\int_{0}^{4} \int_{0}^{\frac{\sqrt{2}}{2}} \int_{x}^{\sqrt{1 - x}} e^{- x^{2} - y^{2}} d y d x d z$

Brennan Flores 2021-10-09

Evaluate the indefinite integral as a power series. What is the radius of convergence?
$\int \frac{t}{1} - t^{8} d t$

e1s2kat26 2021-10-09

Use the trigonometric rules for integrals to solve the following integrals. for b and c
b) $\int_{0}^{1} 2 π x \cdot \sin (π x^{2}) d x$
c) $\int \frac{\sec^{2} (\sqrt{x})}{\sqrt{x}} d x$

Clifland 2021-10-08

Evaluate the triple integral E xydV, where the parabolic cylinders define the boundary $y = x^{2} and x = y^{2}$ and the planes z=0 and z=x+y

texelaare 2021-10-08

Find the following integral.
$\int (1 + 3 t) t^{2} d t$

Lennie Carroll 2021-10-08

Evaluate the following integrals.
$\int \frac{d x}{\sqrt{36 x^{2} - 25}}, x > \frac{5}{6}$

tinfoQ 2021-10-08

Evaluate the following integrals.
$\int_{0}^{\frac{π}{2}} \sin^{7} x d x$

Maiclubk 2021-10-08

Evaluate the following integrals.
$\int \sin^{2} (θ + \frac{π}{6}) d θ$

shadsiei 2021-10-08

Evaluate the integrals
$\int_{0}^{\ln 5} e^{r} {(3 e^{r} + 1)}^{- \frac{3}{2}} d r$

Mylo O'Moore 2021-10-08

Determine the value of the double integral $x y^{2}$ dA, D which is bounded by x=0 and $x = {(1 - y^{2})}^{\frac{1}{2}}$

Jaya Legge 2021-10-07

Evaluate the line integral, where C is the given curve. Integral C x $\sin$ y ds, C is the line segment from (0, 3) to (4, 6)

e1s2kat26 2021-10-07

Evaluate $\int \sin^{5} x d x$ .

usagirl007A 2021-10-07

Put spherical coordinates to use. Consider the triple integral $(x^{2} + y^{2}) d V$ , where E lies between the spheres $x^{2} + y^{2} + z^{2} = 4$ and $x^{2} + y^{2} + z^{2} = 9$

Cabiolab 2021-10-07

If we know that the f is continuous and integral 0 to 4 $f (x) d x = 10$ , compute the integral 0 to 2 $f (2 x) d x$

FobelloE 2021-10-07

Trigonometric substitutions Evaluate the following integrals using trigonometric substitution.
$\int \frac{d x}{x^{3} \sqrt{x^{2} - 1}}, x > 1$

Bevan Mcdonald 2021-10-07

Calculate the double integral. double integral $x \sin (x + y) d A, R = [0, \frac{π}{6}] x [0, \frac{π}{3}]$

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Integral Calculus

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