270 Answered Questions for the topic integral
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...
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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)
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.)...
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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
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?
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 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
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