By Euler's formulae eia = cos a + i sin a and substitute in the above equation. 00 U (a, 0) = (cos ax + i sin ax) dx 0- 00 -|x| cos axdx + i e-lxl sin axdx -00 -00 00 cos axdx + 0 -00 00 -|x| e cos axdx -00

Q: ∫〖(x^3-1)/(x^4-4x)^3 dx〗

A: solve the following

Q: find the approximate values for all solutions to tan^2t -tan t -6 =0

A: Obtain the approximate values as follows.

Q: find (d/dx)(3x^4+x^(1/5)/x^2-4)

A: Obtain the derivative of the function as follows.

Q: ind th

A: Given function is: y=14sin2x We have to find the first derivative of the above function.

Q: f(x) = 5x^3/sin(2x-9) what is f(18)?

A: We have to find the function value

Q: How do you integrate In = ∫yne5ydy ?

A: The objective of this question is to find the integral of the function I_n = ∫y^n * e^(5y) dy. This…

Q: find d/dx f^-1 (4) where f(x)=4+2x^3+sin((pi*x)/2) for -1

A: We have,.We have to find .

Q: tan(csc^−1(4/x))

A:

Q: Solve (D^2-1)y = sin x + (1 + x^2)e^x

A:

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT 3. Is the series n=1 2n convergent or divergent? Hint: quotient…

A: The given series is .

Q: ∫_0^a▒〖√(a^2-x^2 ) dx〗

A: Consider the provided integral, ∫0aa2-x2dx Solve the provided integral. Apply the trigonometric…

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.