sin(x) + 1+x20 dr

Q: Compute the indefinite integral, and demonstrate that your solution works by differentiating:…

A: Since you have asked multiple question As per our policy , we will solve the first question for you.…

Q: 31 -1 dx 7х — 6 -

A:

Q: Evaluate the indefinite integral sin s cos sds

A: We have to solve

Q: Evaluate the definite integral. π/2 1- cos(2x) dx

A: Answer:-(1) Given the integral,     ∫sin2x cos22x dx=∫44*sin2x cos22x dx…

Q: evaluate the indefinite integral

A: The given integral is

Q: Evaluate the definite integral. sin(3t)dt

A:

Q: Find the indefinite integral.

A: According to power rule of integration .

Q: Evaluate the definite integral.

A:

Q: Evaluate the definite integral. sin(2t)dt

A: We will solve the following.

Q: Evaluate the definite integral. sin x dx -dx J12 I+cos² x

A:

Q: Evaluate the indefinite integral. [ (sin-æ)3 dx : +C. V1 - x2

A:

Q: evaluate the definite integral from [0,pi] [(sinx)2(cosx)4]

A: To integrate the definite integral

Q: Find the indefinite integral ∫tan3 2t sec3 2t dt

A: We have to evaluate ∫tan32t sec32tdt Given integral can be written as: I=∫tan22tsec22t sec2ttan2t…

Q: compute the definite integral.

A:

Q: Evaluate the indefinite integral. ∫sin5(x)cos4(x)dx

A: Integrate the given indefinite integral as follows.Consider the expression sin5(x)cos4(x).The above…

Q: Evaluate the integral 1—е-4а sin x cos 3xdx

A:

Q: 3 4. sin x cos xdx

A: These formulae are used while solving the question:

Q: Evaluate the integral 5x sin (x2) dx by using any methods.

A:

Q: Find the indefinite integral

A: To find the indefinite integral: ∫sinx7+cos2x dx Solution: Let substitute t=cosx Differentiating…

Q: 13. | sin(Tt/3) dt

A:

Q: Evaluate the integral ∫(sin-1(x/5))2/√(25-x2) dx

A: NOTE: Refresh your page if you can't see any equations. . ...............(1)

Q: Evaluate the definite integral. ∫(lower bound=π/4)(upper bound=0)sin(4t)dt

A: Given,             ∫π40sin4tdt

Q: Compute the indefinite integral. ∫(1−sin2x)/(cosx) * dx

A: The given integral is,

Q: Evaluate the definite integral. 8 dx 1

A:

Q: evaluate the definite integral.

A:

Q: Evaluate the integrals ∫16 sin2 x cos2 x dx

A:

Q: Find the indefinite integral ∫ cos2 x sin4 x dx

A: Given: I=∫cos2xsin4xdx we know that ∫sinnxdx=n-1n∫sinn-2xdx-cosxsinn-1xn                   ..1

Q: Evaluate the definite integral. 1³ sin (4t)dt

A:

Q: evaluate the integral

A: Evaluate the integral by substitution method.

Q: Evaluate the definite integral In 4 tanh x dx

A: To calculate the value of the definite integral involving hyperbolic functions

Q: TC 4. sin(2x) cos(2x) dx

A: To evaluate the definite integral

Q: Evaluate the integrals ∫sin3 x cos4 x dx

A:

Q: Evaluate the definite integral: 2 1 de sin 0 + cos 0 +1

A:

Q: evaluate the definite integral.

A:

Q: Evaluate the definite integral. 1 2 sin-'(x) dx /1 – x²

A:

Q: Evaluate the indefinite integral sin2 x cos x cos xdx =

A:

Q: Compute the definite integral. 9ex sin(x) dx

A: The integration of the 9exsin(x) limit from 0 to π.

Q: Evaluate the definite integral 15 sin (3x) cos(3x) dx

A:

Q: Evaluate the definite integral. /3 sin(3t)dt

A:

Q: Evaluate the integral sqrt(sin(x))cos^3(x)

A:

Q: Evaluate the definite integral. 7 dx 1

A:

Q: Evaluate integral 0 to pie sin 2 x cos 4 x dx

A: To Evaluate the integral given below:-I=∫0πsin2(x)cos4(x)dx

Q: Evaluate the integral of sin(4x) cos(3x) dx

A: We have to use 2sinAcosB= sin(A+B)+sin(A-B) formula to simplify first.

Q: Evaluate the definite integral. 7/2 (sin x)7 dx =

A:

Q: Evaluate the definite integral. • */10 cos 5x sin(sin 5x) dx

A:

Q: Evaluate the integral ( sin(In(2+2x)) x+1 dx

A: Given: ∫sinln2+2xx+1dx

Q: Find the indefinite integral by using appropriate substitutions. (In(sin.x) dx tanx 1) (n(sin(x)))?…

A:

Q: Evaluate the integrals ∫sin3 x cos3 x dx

A:

Q: Compute the indefinite integral. 1 – sin? x -dx cos x

A: Recall the trigonometric identity: sin2A + cos2A = 1 Hence, 1 - sin2A = cos2A

Q: Find the indefinite integral  ∫sin3 x cos2 x dx

A: We have to find the indefinite integral ∫sin3 x cos2 x dx

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.