What is #f(x) = int xsin2x+cos3x dx# if #f((7pi)/12)=14 #?
We use the Rule of Integration by Parts (IBP) in the following
form:
By signing up, you agree to our Terms of Service and Privacy Policy
To find ( f(x) = \int xsin(2x) + cos(3x) , dx ) if ( f\left(\frac{7\pi}{12}\right) = 14 ), you can differentiate the function ( f(x) ) and solve for the constant of integration using the given information.
Differentiating ( f(x) ) will give you ( f'(x) = x \cdot \sin(2x) + \cos(3x) ).
Integrating ( f'(x) ) will give you ( f(x) = \int x \sin(2x) + \cos(3x) , dx ).
Then, evaluate ( f(x) ) at ( x = \frac{7\pi}{12} ) and set it equal to 14 to find the constant of integration.
Once you have the constant of integration, you can find the specific function ( f(x) ).
By signing up, you agree to our Terms of Service and Privacy Policy
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
- How do you find #int (3x^2-x)/((1 - x)^2(1 - 3x))dx# using partial fractions?
- How do you integrate #int xtan^-1x# from 0 to 1 by integration by parts method?
- How do you integrate #int sqrtx ln x dx # using integration by parts?
- How do you integrate #1/(x^2+3x+2)# using partial fractions?
- How do you integrate #int xsqrt(2x+1)dx#?
- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7