270 Answered Questions for the topic integral

Integral Calculus

03/13/16

Integral of the equation

∫1/(√x√(1-x)) dx
Integral Calculus

03/13/16

How to find this integral?

∫(x+5)/(√9-(x-3)2)   This problem is stumping me! Also the square root is over the whole denominator. 

02/02/16

Cubic curve integral - area enclosing curve and x-axis

The curve is x^3-6x^2+11x-6. I have to prove that the two regions enclosed between the x-axis and the curve are equal. Given is, that the curve cuts the x-axis at x=1,x=2 and x=3. I tried finding... more

08/15/15

solution of indefinite integral

What is a particular solution of the indefinite integral ∫(2)/(1-x2)dx that passes through (√3 , (Π/2)?   a) f(x)=√(3) tan-1x-(Π/6) b) f(x)=2tan-1x-(Π/6) c) f(x)=2tan-1x+√(3)
Integral Math Calculus Ap Calc

08/13/15

substituting in an integral

If the substitution √(X)=sin y is made in the integrand of: (top of the integral sign is (1/2), bottom of the sign is 0) ∫ ( √(X) )/( √(1-X) )dx, the resulting integral is_____________.   A.)... more

08/12/15

chain rule is also know as

The Chain Rule for antiderivatives is also known as the ___________________ rule.   -derivative -substitution -product -integral

08/12/15

integrals for area between curves

what integral formula would represent the area between the curves f(x)=-x2+2x+3 and g(x)=x+1 on the interval [-1,2]?

08/12/15

solving integrals

∫ ( (dx)/√(x2+36) )=_____________     a. ( (√(x2+36)+x)/6 )+C   b. ln abs( (x+6)/(√(x2+36)) )+C   c. ln ( (√(x2+36)+x)/6 )+C      

08/12/15

trigonometric substitution to evaluate integral

Which trigonometric substitution can be used  to evaluate the integral: ∫ ( (dx)/(√(a2+x2)) ) ...?   x= a tanθ   x=a sinθ   x=a secθ

08/11/15

substituting a value into an integrand

if the substitution √(x)=sin(y) is made into the integrand of (with the upper limit of: 1/2  and the lower limit of: 0) ∫ ( (√(x) )/( (√(1-x) )dx , the resulting integral is _______________.    

06/29/15

Area bounded by two curves

What is the area of the region bounded by the curves y=2(x^2)-7 and y=2/x between x=1 and x=3? Please and thank you!

03/08/15

Evaluate the integral

Evaluate the integral  ∫(-9/3√(x-9))dx with upper bound 9 and lower bound 1
Integral Derivative

01/29/15

Find the derivative of

Find the derivative of  g'(x)=∫(u+4/u-5)du with upper bound 3x and lower bound 9x 
Integral Derivative Function

01/26/15

Find the derivative of the following integral

find the derivative of    g(x)= ∫(u+4/u-5)du with upper bound 3x and lower bound 9x g'(x)=?
Integral Calculus

01/23/15

At what value of t does the local max occur?

f(t)= integral (x^2+11x+24)/(1+cos^2(x)) from 0 to t  At what value of t does the local max of f(t) occur?
Integral Calculus Derivative

01/23/15

Find the derivative

Find the derivative of  g(x) integral (u+4)/(u-5) with upper bound 3x and lower bound 9x 
Integral Calculus

11/13/14

Evaluate the Integral

Evaluate the integral. (Use C for the constant of integration. Remember to use ln |u| where appropriate.) (x^−0.3 − x^0.3) dx
Integral 3^x E^x

06/01/14

[INTEGRAL] S3^x.e^xdx= ?

[INTEGRAL] S3^x.e^xdx= ? thanks guys
Integral Integration

10/31/13

Why is the derivative of the answer to an integral equal to the primary function which we want to take integral of? I'm looking for the concept.

I'm in a hurry to find the answer. Please help me. Thanks so much

10/16/13

Integration

∫√(4x2+40x)dx

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