i) S'(2x – 1)* dx (In x)2 j) fth dx 7 k) S (1-- -)dx (x2+1) 1) S(1+ tan² x) dx

Q: (a) [ dx ? 元+1

A:

Q: 11. Find e*sinx dx

A:

Q: y = x * (sin 1x)² – 2x + 2v1-x² * (sin-1x), Find dy dx

A: Given that equation of y and we find dy/dx. We know that d(sin-1x)/dx = 1/√1-x2. And d(xn)/dx =…

Q: dy for the following functions : dx 1. Find 3(x – 1) (ans.: 5) Sec² /2x +7 15) y=\tan /2x +7 (ans.:…

A:

Q: x* + 4 dx : %3D 3

A:

Q: 2- Find dy/dx for y = In(tan(2x²))

A:

Q: 4. evaluate 1 -5x dx xe x sin( 2.x)dx 5)

A: Integration by parts.

Q: Sx² cosh (1-x³) dx

A: Let the given integral be I - I = ∫x2cosh1-x3dx                   ............(1)Let,t = 1-x3…

Q: '5 '5 If f(x) dx = 8 and f(x) dx = 5.8, find f(x) dx.

A:

Q: J (sec²4x) (tan 4x)dx

A:

Q: dx 3 -1 (4-x²)7

A:

Q: y = (cos x-x4+ 1/x2)5 - In (3x+1)  Find dy/dx

A: =?

Q: 1 [In(3x)] S (* -5x+2)e*dx

A: solution is given below

Q: d/dx[(1-cosh(x))/(1+cosh(x))]

A:

Q: cosh(In x) dx

A:

Q: 1. S 3 cos("/x) x2

A: "Since you have asked multiple questions , we will solved the multiple questions for you. If you…

Q: dy/dx for (ln(tan(2x)-sqrt(3+e^2x) / (pi(x)^3-cos^2(-5x))

A: Given,     y  =  ln(tan2x)-3+e2xπx3-cos2(-5x)

Q: 5. / x² sin 3x dx

A: We have to find the indefinite integral

Q: Find if y=tanVx³). dx 1 A 1+x³ 1 (в 2/x³ (1+ x³) 3x2 (1 + x³) D 2(1+ x³)

A: Given query is to find the derivative of the expression.