Grade 12Integral Calculus

evaluate the following integral
∫ 1 – sin 2x / x + cos^2 (x) dx

taniska

11 Years agoGrade 12

1 Answer

Jitender Singh

11 Years ago

Ans:
Hello student,
Please find the answer to your question below

$I = \int \frac{1-sin2x}{x+cos^{2}x}dx$
$x+cos^{2}x = t$
$(1+2cosx(-sinx))dx = dt$
$(1-sin2x)dx = dt$
$I = \int \frac{dt}{t}$
$I = log(t)+c$
$I = log(1-sin2x)+c$

The area of a square field is 640000cm².what is its area in hectares

integral calculus

1 Answer Available

Last Activity: 3 Years ago

Please solve this integration. I am facing difficulty in it
How to solve this. Please solve anyone. Humble request

integral calculus

1 Answer Available

Last Activity: 4 Years ago

Using laplace transform, solve d²y/dt²+ dy/dt = t² +2t given that y=4 and y’=-2 and t=0

integral calculus

1 Answer Available

Last Activity: 4 Years ago

If 4th term of an A.p is zero, show that the 8th term is double the 6th term

integral calculus

1 Answer Available

Last Activity: 4 Years ago

View all Questions

evaluate the following integral∫ 1 – sin 2x / x + cos^2 (x) dx

taniska

1 Answer

Jitender Singh

Other Related Questions on integral calculus

The area of a square field is 640000cm2.what is its area in hectares

Please solve this integration. I am facing difficulty in it How to solve this. Please solve anyone. Humble request

Using laplace transform, solve d2y/dt2 + dy/dt = t2 +2t given that y=4 and y’=-2 and t=0

If 4th term of an A.p is zero, show that the 8th term is double the 6th term

evaluate the following integral
∫ 1 – sin 2x / x + cos^2 (x) dx

The area of a square field is 640000cm².what is its area in hectares

Please solve this integration. I am facing difficulty in it
How to solve this. Please solve anyone. Humble request

Using laplace transform, solve d²y/dt²+ dy/dt = t² +2t given that y=4 and y’=-2 and t=0