If I = ^ 7 x ~d x then I equals
Mathematics · JEE Advanced · NTA Exams — Integral Calculus
If \(\mathrm{I}=\int \sin ^{7} x \mathrm{~d} x\)then I equals
- –cos x + cos3x – cos5x + \(\frac{1}{7}\)cos7x + c
- –cos x + cos3x – \(\frac{3}{5} \cos ^{5} x+\frac{1}{7}\)cos7x + c
- tan x – tan3x + sin x \(-\frac{1}{3} \cos ^{3}\)x + c
- – cos x + cos5x \(-\frac{1}{3} \cos ^{3} x+\frac{1}{7}\)cos7x + c
Answer
(B) –cos x + cos 3 x – 3 5 ^ 5 x+ 1 7 cos 7 x + c
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- e ^ 2 ^ -1 x (1+ x )^ 2 (1+ x ^ 2 ) dx is equal to
- If the integrand is a rational function of x and fractional powers of a linear fractional function of the…
- The area of the region between the curves y= 1+ x x and y= 1- x x bounded by the lines x = 0 and x= 4 is
- _ 0 ^ 1 / 2 e^ x ( ^ -1 x- x (1-x^ 2 )^ 3 / 2 ) d x=
- If I = x^ 3 +x x^ 4 -9 ~d x then I equals :
- The slope of the tangent to a curve y = f ( x ) at [ x , f ( x )] is 2 x + 1. If the curve passes through the…
- _ 3 ^ 29 [3] (x-2)^ 2 3+ [3] (x-2)^ 2 d x=
- If stands for the integral part of , then _ 0 ^ 5 / 12 [ x] d x=
More Integral Calculus questions · Browse all practice questions