Home
Class 12
MATHS
If int3^(2x)cos2x dx=(k^(x))/((logk)^(2)...

If `int3^(2x)cos2x dx=(k^(x))/((logk)^(2)+4)[(logk)cos2x+2sin2x]+c`, then the value of k is-

Text Solution

Verified by Experts

The correct Answer is:
9
Promotional Banner

Topper's Solved these Questions

  • INTEGRATION BY PARTS

    CHHAYA PUBLICATION|Exercise Matrix Match Type|2 Videos
  • INTEGRATION BY PARTS

    CHHAYA PUBLICATION|Exercise Comprehension Type|6 Videos
  • INTEGRATION BY PARTS

    CHHAYA PUBLICATION|Exercise Multiple Correct Answers Type|5 Videos
  • INTEGRALS OF SOME SPECIAL FORM OF FUNCTIONS

    CHHAYA PUBLICATION|Exercise Comprehension Type|6 Videos
  • INTRODUCTION TO THREE-DIMENSIONAL COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise Sample questions for Competitive Exams ( D Comprehension Type)|4 Videos

Similar Questions

Explore conceptually related problems

int 3^(2x) cos2x dx

If intx^(2)cos^(2)x dx=(x^(3))/(k)+(1)/(8)(2x^(2)sin2x+2xcos2x-sin2x)+c , then the value of k is-

int(cos 2x)/(cos x) dx=

If int sqrt(a^(2)-x^(2))dx=(x)/(2)sqrt(a^(2)-x^(2))+k sin^(-1)(x/a)+c , then the value of k is-

If int (dx)/(x^(2)-a^(2))= k log |(x-a)/(x+a)|+c , then the value of k is-

If int(cos 4x+1)/(cotx-tan x) dx=k cos 4x+c , then the value of k is -

int sin^(2) x cos^(2) x dx

If int (dx)/(x^(2)+a^(2))=k cot^(-1) ""(x)/(a)+c then the value of k is-

If int (cos^(4)x)/(sin^(2)x) dx = - k (x/2 + 1/12 sin 2x + 1/3 cot x) + c , then the value of k is -

If int (dx)/(sqrt(a^(2)-x^(2)))=k cos^(-1)""(x)/(a)+c then the value of k is-