Evaluate the integral. 7 2ex sinh(x) + cosh(x) dx

Q: Evaluate the integral. (5x2 - 4x +5) dx

A:

Q: 4. 5x + Vx) dx = |(Simplify your answer.)

A: From the given problem:   I=∫145x2+xdx   Applying  the sum rule:   ∫fx±gxdx=∫fxdx±∫gxdx   Now,…

Q: Evaluate the definite integral. (9 – 2x) dx

A: Evaluate: ∫36 9-2xdx

Q: B1. Evaluate the integral | sinx (2 csc x- 4cot x) dx .

A: Given: The integral given is  ∫sinx2cscx-4cotxdx

Q: Evaluate the integral. Check your results by differentiation. (Use C for the constant of…

A: Given ∫5x47x5+155dx. Evaluate the integral.

Q: Evaluate the integral. Check your result by differentiation. 3x4 dx (7x5 – 2)4

A:

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.