448 Answered Questions for the topic integral calculus

Integral Calculus

02/03/22

Integral of |sinx| dx with limits from 0 to minus pie

Integral Calculus Calculus Trigonometry Trig Sub

01/24/22

Trig sub integral problem

Would anyone be able to help me through this problem using trig sub?∫ dx/ sqrt(4x^2 + 9)
Integral Calculus Math Calculus Math Help

01/03/22

Evaluating the surface integral with the part of a plane inside a cylinder

Question: how to calculate the surface integral of∫xz dσp where p is the part of the plane z+x-5=0 that is inside the cylinder x2+y2=1.Im trying to understand how to do this exercise... I guess... more
Integral Calculus

12/09/21

Integral Calculus

Find a function y = ƒ(x) having atleast three inflection points and sketch it's graph. [ Note: To find the formula of ƒ(x) start with a suitably chosen ƒⁿ(x) and integrate ƒⁿ(x) twice. The second... more
Integral Calculus Math Calculus Integral

12/07/21

Use cylindrical coordinates to evaluate the triple integral

Use cylindrical coordinates to evaluate the triple integral ∫∫∫𝐄 sqrt(x^2+y^2) dV, where 𝐄 is the solid bounded by the circular paraboloid z=16 - 4 (x^2+y^2) and the xy-plane.
Integral Calculus Math Calculus Integral

12/07/21

Use spherical coordinates to evaluate the triple integral

Use spherical coordinates to evaluate the triple integral ∫∫∫𝐄 x^2+y^2+z^2 dV, where 𝐄 is the ball: x^2+y^2+z^2≤25
Integral Calculus Math Calculus Integral

12/07/21

Find the volume of the region bounded by

Find the volume of the region bounded by z=x^2, 0 ≤ x ≤ 4, and the planes y=0, y=6, and z=0.volume?
Integral Calculus Calculus Differential Equations

12/04/21

solve the given DE

xy*y' =x2+y2*its a homogenus DE with degree zero
Integral Calculus Math Calculus

12/02/21

integral problem

assume F'(t)= sin(t)cos(t) and F(0)=5. find F(b) for b=0, 0.5, 1, 1.5, 2, 2.5, and 3. Round to three decimal places.Hint: you are given that F(0)=5. using the fundamental theorem of calculus you... more
Integral Calculus Math Calculus

11/29/21

integral substitution

Evaluate indefinite integral of (sqrt(x^2-4))/(x)thank you.
Integral Calculus Calculus

11/28/21

Direct integrate please

Evaluate the integral ∲(ex+y²)dx+(ey+x²)dyby evaluating it directly( without using green's theorem) Assume that c is the boundary of the region between y=x² and y= x which is oriented... more
Integral Calculus Math Calculus Trigonometry

11/28/21

Trigonometric Substitution

use the substitution x=3 sec t to evaluate the indefinite integral (dx)/(x*sqrt(x^2-9))appreciate any help thank you!
Integral Calculus Math Calculus Trigonometry

11/28/21

Trigonometric Substitution

Evaluate indefinte intergral of (x^10)/((9-x^2)^(13/2))thank you!!
Integral Calculus Math Calculus Trigonometry

11/28/21

Trigonometric Substitution

Using the substitution x=2 tan (θ), evaluate the indefinite integral of (4+x^2)^2Thank you in advance.
Integral Calculus

11/28/21

integral (integral(x^2-y^2)dxdy)

Integral Calculus Calculus

11/28/21

Evaluate the integral

(x3 + 2x2 + x - 5) e2x dx
Integral Calculus Math Calculus

11/26/21

definite integrals

let G'(t)= g(t) and G(0)=4. Use the figure to find the values of G(t) at t=5,10, 20, 25. there is a graph provided of the function g(t). but how do find the values of g(t)?
Integral Calculus Math Calculus Integral

11/25/21

how many time i have to apply by parts

is there a way to know how many time should I apply by parts?as this example x^2.5 cosh(sqrt(x))?
Integral Calculus Math Calculus Integral

11/20/21

Evaluate the integral by reversing the order of integration

1 1∫ ∫ sin(x^2) dxdy 0 y ? ?= ∫ ∫ sin(x^2) dydx ? ?
Integral Calculus Math Calculus

11/19/21

integral properties

Integral of (3f(x)+7) dx= 28 . it has a lower bound at 3 and upper at 4, find fxdx
Integral Calculus Calculus

11/16/21

Evaluate the indefinite integral ∫(5𝑥 3 + 3𝑥 5 )𝑑x

Not sure how to solve this. Thank you for the help.
Integral Calculus Math Calculus Derivative

11/15/21

Indefinite integration

Find the indefinite integral for the following:(indefinite integral) (6)/(8e^x+4)dxThank you in advance

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